| 1 |
研究論文（学術雑誌）
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単著
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Hopf hypersurfaces in complex projective space and half-dimensional totally complex submanifolds in complex $2$-plane Grassmannians II
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Makoto Kimura
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Differential Geometry and its Applications
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Elsevier
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54/ Part A, October, 44-52
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2017/01/11
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10.1016/j.difgeo.2016.12.007
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We show that Hopf hypersurfaces in complex projective space are constructed from half-dimensional totally complex submanifolds in complex 2-plane Grassmannian and Legendrian submanifolds in the twistor space.
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| 2 |
研究論文（学術雑誌）
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共著
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Levi-umbilical real hypersurfaces in a complex space form
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Jong Taek Cho and Makoto Kimura
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Nagoya Mathematical Journal
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229, 99-112
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2016/12/15
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10.1017/nmj.2016.63
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| 3 |
研究論文（学術雑誌）
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共著
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Gradient Ricci soliton on $O(n)$-invariant $n$-dimensional submanifold in $S^n(1)\times S^n(1)$
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Jong Taek Cho and Makoto Kimura
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Journal of the Korean Mathematical Society
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Korean Mathematical Society
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2018
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URL
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| 4 |
研究論文（学術雑誌）
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共著
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Characterizations of three homogeneous real hypersurfaces in a complex projective space
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Makoto Kimura and Sadahiro Maeda
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Hokkaido Mathematical Journal
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2018
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URL
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| 5 |
研究論文（学術雑誌）
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共著
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The homogeneous ruled real hypersurface in a complex hyperbolic space
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Makoto Kimura, Sadahiro Maeda and Hiromasa Tanabe
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Journal of Geometry
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Springer
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2018
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10.1007/s00022-018-0421-7
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| 6 |
研究論文（学術雑誌）
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共著
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Integral curves of the characteristic vector field of minimal ruled real hypersurfaces in non-flat complex space forms
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Makoto Kimura，Sadahiro Maeda and Hiromasa Tanabe
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Hokkaido Mathematical Journal
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2018
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URL
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| 7 |
研究論文（学術雑誌）
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共著
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Hopf hypersurfaces in complex hyperbolic space and submanifolds in indefinite complex 2-plane Grassmannian I
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Jong Taek Cho and Makoto Kimura
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Topology and its Applications
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Elsevier
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196/ Part B, 594-607
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2015/12/10
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10.1016/j.topol.2014.06.018
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We define Gauss map from a real hypersurface in complex hyperbolic space to indefinite complex 2-plane Grassmannian. We show that if a real hypersurface is Hopf, then the image of the Gauss map is a half-dimensional regular submanifold and has a nice behavior under para-quaternionic Kähler structures of the Grassmannian. In particular if absolute value of the Hopf curvature of the Hopf hypersurface is greater (resp. smaller) than 2, then the Gauss image is totally complex (resp. totally para-complex) submanifold with respect to the para-quaternionic Kähler structure of indefinite complex 2-plane Grassmannian, provided that the induced metric is nondegenerate.
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| 8 |
研究論文（学術雑誌）
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共著
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Reeb flow symmetry on almost contact three-manifolds
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Jong Taek Cho and Makoto Kimura
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Differential Geometry and its Applications
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Elsevier
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35/ Supplement, 266-273
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2014/05/27
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10.1016/j.difgeo.2014.05.002
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| 9 |
研究論文（学術雑誌）
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単著
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Hopf hypersurfaces in complex projective space and half-dimensional totally complex submanifolds in complex 2-plane Grassmannian I
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Makoto Kimura
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Differential Geometry and its Applications
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Elsevier
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35/ Supplement, 156-163
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2014/05/24
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10.1016/j.difgeo.2014.04.004
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We define Gauss map from a real hypersurface in complex projective space to complex 2-plane Grassmannian. We show that if a real hypersurface is Hopf, then the image of the Gauss map is a half-dimensional totally complex submanifold with respect to quaternionic Kähler structure of complex 2-plane Grassmannian.
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| 10 |
研究論文（学術雑誌）
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共著
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Austere hypersurfaces in 5-sphere and real hypersurfaces in complex projective plane
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Jong Taek Cho and Makoto Kimura
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Proceedings of the workshop on Differential Geometry of Submanifolds and its related topics Saga, August 4-6, 2012
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World Scientific
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245-259
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2013
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10.1142/9789814566285_0021
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| 11 |
研究論文（学術雑誌）
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共著
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Real Hypersurfaces in Complex Two-Plane
Grassmannians with generalized Tanaka-Webster
Reeb Parallel Shape Operator
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Imsoon Jeong, Makoto Kimura,
Hyunjin Lee, Young Jin Suh
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Monatsh Math.
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Springer
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171/ 3-4, 357-376
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2013
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10.1007/s00605-013-0475-4
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| 12 |
研究論文（学術雑誌）
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共著
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Transversal symmetries on real hypersurfaces in a complex space form
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Jong Taek Cho and Makoto Kimura
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Hiroshima Mathematical Journal
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43/ 2, 223-228
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2013
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URL
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| 13 |
研究論文（学術雑誌）
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共著
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Ricci solitons on locally conformally flat hypersurfaces in space forms
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Jong Taek Cho and Makoto Kimura
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Journal of Geometry and Physics
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Elsevier
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62/ 8, 1882-1891
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2012
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10.1016/j.geomphys.2012.04.006
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We study Ricci solitons on locally conformally flat hypersurfaces in space forms of constant sectional curvature with potential vector field being a principal curvature eigenvector of multiplicity one. We show that in Euclidean space, a hypersurface of revolution given in terms of a solution of some non-linear ODE. Hence there exists infinitely many mutually non-congruent Ricci solitons of this type. Furthermore the Ricci soliton is gradient and in the case it is shrinking, the hypersurface must be the product of the real line and the sphere.
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| 14 |
研究論文（学術雑誌）
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共著
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Curvature of Hopf hypersurfaces in a complex space form
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Jong Taek Cho and Makoto Kimura
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Results in Mathematics
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Birkhäuser
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61/ 1-2, 127-135
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2012/02
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10.1007/s00025-010-0080-y
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| 15 |
（MISC）総説・解説（大学・研究所紀要）
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共著
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Ruled Lagrangian submanifolds in complex Euclidean 3-space
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Jong Taek Cho and Makoto Kimura
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Mem. Fac. Sci. Eng. Shimane Univ. Ser. B Math. Sci.
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44, 17-26
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2011
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URL
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| 16 |
（MISC）総説・解説（大学・研究所紀要）
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共著
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η-umbilical hypersurfaces in P2C and H2C
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Jong Taek Cho and Makoto Kimura
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Mem. Fac. Sci. Eng. Shimane Univ. Ser. B Math. Sci.
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44, 27-32
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2011
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URL
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| 17 |
研究論文（学術雑誌）
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共著
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Ricci solitons of compact real hypersurfaces in Kähler manifolds
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Jong Taek Cho and Makoto Kimura
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Mathematische Nachrichten
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Wiley-VCH
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284/ 11-12, 1385-1393
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2011/08
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10.1002/mana.200910186
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| 18 |
（MISC）総説・解説（大学・研究所紀要）
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共著
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RICCI SOLITONS AND LAGRANGIAN SUBMANIFOLDS IN
KAHLER MANIFOLDS
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JONG TAEK CHO AND MAKOTO KIMURA
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Mem. Fac. Sci. Eng. Shimane Univ.
Series B: Mathematical Science
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43, 27-32
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2010
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URL
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| 19 |
研究論文（学術雑誌）
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共著
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Ricci solitons and real hypersurfaces in a complex space form
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Jong Taek Cho and Makoto Kimura
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Tohoku Mathematical Journal
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61/ 2, 205-212
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2009
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10.2748/tmj/1245849443
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| 20 |
（MISC）総説・解説（国際会議プロシーディングズ）
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単著
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Lagrangian submanifolds with totally geodesic foliation in complex projective space
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Makoto Kimura
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Proceedings of the 12th International Workshop on Differential Geometry and Related Fields
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12, 115–118
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2008
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URL
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| 21 |
（MISC）総説・解説（国際会議プロシーディングズ）
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共著
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Fundamental theorems of Lagrangian surfaces in S2×S2
|
Makoto Kimura and Kaoru Suizu
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Proceedings of the 12th International Workshop on Differential Geometry and Related Fields
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12, 119-124
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2008
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URL
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| 22 |
研究論文（学術雑誌）
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単著
|
Lagrangian submanifolds with codimension 1 totally geodesic foliation in complex projective spaces
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Makoto Kimura
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Kodai Mathematical Journal
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31/ 1, 38-45
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2008
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10.2996/kmj/1206454549
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| 23 |
研究論文（学術雑誌）
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共著
|
PSEUDO-HOLOMORPHIC SECTIONAL CURVATURES OF REAL HYPERSURFACES IN A COMPLEX SPACE FORM
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Jong Taek Cho and Makoto Kimura
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Kyushu Journal of Mathematics
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62/ 1, 75-87
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2008
|
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10.2206/kyushujm.62.75
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| 24 |
研究論文（学術雑誌）
|
共著
|
Sectional curvatures of some homogeneous real hypersurfaces in a complex projective space
|
Sadahiro Maeda and Makoto Kimura
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Topics in contemporary differential geometry, complex analysis and mathematical physics
|
World Scientific
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196–204
|
2007
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10.1142/9789812709806_0021
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| 25 |
研究論文（学術雑誌）
|
共著
|
Fundamental theorems of Lagrangian surfaces in S2×S2
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Makoto Kimura and Kaoru Suizu
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Osaka Journal of Mathematics
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44/ 4, 829-850
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2007
|
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URL
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| 26 |
（MISC）総説・解説（国際会議プロシーディングズ）
|
単著
|
A generalization of Cartan hypersurfaces
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Makoto Kimura
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Proceedings of the Ninth International Workshop on Differential Geometry
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9, 51-59
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2005
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URL
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| 27 |
（MISC）総説・解説（国際会議プロシーディングズ）
|
単著
|
A class of real hypersurfaces in complex projective space
|
Makoto Kimura
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Proceedings of the Ninth International Workshop on Differential Geometry
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9, 61-67
|
2005
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URL
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| 28 |
研究論文（学術雑誌）
|
共著
|
Totally umbilic hypersurfaces and isoparametric hypersurfaces in space forms
|
Makoto Kimura and Sadahiro Maeda
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Contemporary aspects of complex analysis, differential geometry and mathematical physics
|
World Scientific
|
149–157
|
2005
|
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10.1142/9789812701763_0014
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| 29 |
研究論文（学術雑誌）
|
共著
|
Real hypersurfaces some of whose geodesics are plane curves in nonflat complex space forms
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Toshiaki Adachi, Makoto Kimura, and Sadahiro Maeda
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Tohoku Mathematical Journal
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57/ 2, 223-230
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2005
|
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10.2748/tmj/1119888336
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| 30 |
研究論文（学術雑誌）
|
共著
|
Congruent classes of Frenet curves in complex quadrics
|
Makoto Kimura and Miguel Ortega
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Journal of Geometry
|
Birkhäuser
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83/ 1-2, 121-136
|
2005
|
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10.1007/s00022-005-0001-5
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| 31 |
（MISC）総説・解説（大学・研究所紀要）
|
単著
|
Space of geodesics in hyperbolic spaces and Lorentz numbers
|
Makoto Kimura
|
Mem. Fac. Sci. Eng. Shimane Univ. Ser. B Math. Sci.
|
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36, 61-67
|
2003
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URL
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| 32 |
研究論文（学術雑誌）
|
共著
|
Submanifolds with degenerate Gauss mappings in spheres
|
Goo Ishikawa, Makoto Kimura and Reiko Miyaoka
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Advanced Studies in Pure Mathematics
|
Math. Soc. Japan
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37, 115-149
|
2002
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URL
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| 33 |
（MISC）総説・解説（大学・研究所紀要）
|
共著
|
Submanifolds with degenerate Gauss mappings in spheres
|
G. Ishikawa, M. Kimura and R. Miyaoka
|
Josai Math. Monogr.
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3, 125-138
|
2001
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URL
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| 34 |
研究論文（学術雑誌）
|
共著
|
Geometry of Holomorphic Distributions of Real Hypersurfaces in a Complex Projective Space
|
U-Hang Ki, Makoto Kimura and Sadahiro Maeda
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Czechoslovak Mathematical Journal
|
Springer
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51/ 1, 197-204
|
2001
|
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10.1023/A:1013774326200
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| 35 |
研究論文（学術雑誌）
|
共著
|
Geometric Meaning of Isoparametric Hypersurfaces in a Real Space Form
|
Makoto Kimura and Sadahiro Maeda
|
Canadian Mathematical Bulletin
|
Canadian Math. Soc.
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43, 74-78
|
2000
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10.4153/CMB-2000-011-3
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| 36 |
研究論文（学術雑誌）
|
単著
|
Minimal immersions of some circle bundles over holomorphic curves in complex quadric to sphere
|
Makoto Kimura
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Osaka Journal of Mathematics
|
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37/ 4, 883-903
|
2000
|
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URL
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| 37 |
研究論文（学術雑誌）
|
共著
|
A characterization of all homogeneous real hypersurfaces in a complex projective space by observing the extrinsic shape of geodesics
|
Toshiaki Adachi, Makoto Kimura and Sadahiro Maeda
|
Archiv der Mathematik
|
Birkhäuser
|
73/ 4, 303-310
|
1999
|
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10.1007/s000130050402
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| 38 |
（MISC）総説・解説（大学・研究所紀要）
|
単著
|
A geometric interpretation of isoparametric hypersurfaces
|
Makoto Kimura
|
Sūrikaisekikenkyūsho Kōkyūroku
|
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1044, 1-3
|
1998
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URL
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| 39 |
（MISC）総説・解説（大学・研究所紀要）
|
単著
|
Holomorphic Curves in Complex Grassmann Manifolds and Ruled Kahler Submanifolds in Complex Projective Spaces
|
Makoto Kimura
|
Bulletin of the Faculty of Education, Ibaraki University. Natural Sciences
|
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46, 21-33
|
1997
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URL
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| 40 |
研究論文（学術雑誌）
|
単著
|
Curves in SU(n+1)/SO(n+1) and some submanifolds in Pn(C)
|
Makoto Kimura
|
Saitama Mathematical Journal
|
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14, 79-89
|
1996
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URL
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| 41 |
（MISC）総説・解説（大学・研究所紀要）
|
単著
|
Some Non-Homogeneous Real Hypersurfaces in a Complex Projective Space-2-(Characterization)
|
Makoto Kimura
|
Bull. Fac. Educ., Ibaraki Univ,(Nat. Sci.)
|
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44, 17-31
|
1995
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| 42 |
（MISC）総説・解説（大学・研究所紀要）
|
単著
|
Some Non-Homogeneous Real Hypersurfaces in a Complex Projective Space-1-(Construction)
|
Makoto Kimura
|
Bull. Fac. Educ., Ibaraki Univ,(Nat. Sci.)
|
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44, 1-16
|
1995
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| 43 |
研究論文（学術雑誌）
|
共著
|
Lie derivatives on real hypersurfaces in a complex projective space
|
Makoto Kimura and Sadahiro Maeda
|
Czechoslovak Mathematical Journal
|
Springer
|
45(120)/ 1, 135-148
|
1995
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URL
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| 44 |
（MISC）総説・解説（大学・研究所紀要）
|
単著
|
SOME SUBMANIFOLDS OF COMPLEX PROJECTIVE SPACES
|
Makoto Kimura
|
数理解析研究所講究録
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907, 63-66
|
1995/05
|
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URL
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| 45 |
研究論文（学術雑誌）
|
単著
|
Kähler surfaces in Pn given by holomorphic maps from P1 to Pn−2
|
Makoto Kimura
|
Archiv der Mathematik
|
Birkhäuser
|
63/ 5, 472-476
|
1994
|
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10.1007/BF01196679
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| 46 |
研究論文（学術雑誌）
|
共著
|
On real hypersurfaces of a complex projective space III
|
Makoto Kimura and Sadahiro Maeda
|
Hokkaido Mathematical Journal
|
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22/ 1, 63-78
|
1993
|
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URL
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| 47 |
研究論文（学術雑誌）
|
単著
|
Minimal Hypersurfaces Foliated by Geodesics of 4-Dimensional Space Forms
|
Makoto Kimura
|
Tokyo Journal of Mathematics
|
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16/ 1, 241-260
|
1993
|
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10.3836/tjm/1270128995
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| 48 |
研究論文（学術雑誌）
|
単著
|
O(p)×O(q)-invariant minimal hypersurfaces in hyperbolic space
|
Makoto Kimura
|
Nihonkai Mathematical Journal
|
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4/ 2, 233–238
|
1993
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URL
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| 49 |
研究論文（学術雑誌）
|
単著
|
Correction to: "Some real hypersurfaces of a complex projective space''
|
Makoto Kimura
|
Saitama Math. J.
|
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10, 33-34
|
1992
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URL
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| 50 |
研究論文（学術雑誌）
|
共著
|
Characterizations of geodesic hyperspheres in a complex projective space in terms of Ricci tensors
|
Makoto Kimura and Sadahiro Maeda
|
Yokohama Mathematical Journal
|
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40/ 1, 35-43
|
1992
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URL
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| 51 |
研究論文（学術雑誌）
|
共著
|
On real hypersurfaces of a complex projective space II
|
Makoto Kimura and Sadahiro Maeda
|
Tsukuba Journal of Mathematics
|
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15/ 2, 547-561
|
1991
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URL
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| 52 |
研究論文（学術雑誌）
|
共著
|
On real hypersurfaces of a complex projective space
|
Makoto Kimura and Sadahiro Maeda
|
Mathematische Zeitschrift
|
Springer
|
202/ 3, 299-311
|
1989
|
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10.1007/BF01159962
|
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| 53 |
研究論文（学術雑誌）
|
単著
|
Some real hypersurfaces of a complex projective space
|
Makoto Kimura
|
Saitama Math. J.
|
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5, 1-5
|
1987
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|
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URL
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| 54 |
研究論文（学術雑誌）
|
単著
|
Sectional curvatures of holomorphic planes on a real hypersurface in Pn(C)
|
Makoto Kimura
|
Mathematische Annalen
|
Springer
|
276/ 3, 487-497
|
1987
|
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10.1007/BF01450843
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|
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| 55 |
研究論文（学術雑誌）
|
単著
|
Real hypersurfaces and complex submanifolds in complex projective space
|
Makoto Kimura
|
Transactions of the American Mathematical Society
|
Amer. Math. Soc.
|
296/ 1, 137-149
|
1986
|
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10.1090/S0002-9947-1986-0837803-2
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| 56 |
研究論文（学術雑誌）
|
単著
|
Real hypersurfaces of a complex projective space
|
Makoto Kimura
|
Bulletin of the Australian Mathematical Society
|
Austral. Math. Publ. Assoc.
|
33/ 3, 383-387
|
1986
|
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10.1017/S0004972700003968
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|
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| 57 |
研究論文（学術雑誌）
|
単著
|
Complex submanifolds of certain non-Kaehler manifolds
|
Makoto Kimura
|
Kodai Mathematical Journal
|
|
8/ 1, 90-98
|
1985
|
|
10.2996/kmj/1138037000
|
|
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