Papers

Number of the published data : 57
No. Publishing type Authorship Title Author Journal Publisher Volume/issue/page Publication date ISSN DOI URL Summary
1 Research paper (scientific journal)
Joint
Gradient Ricci soliton on $O(n)$-invariant $n$-dimensional submanifold in $S^n(1)\times S^n(1)$
Jong Taek Cho and Makoto Kimura
Journal of the Korean Mathematical Society
Korean Mathematical Society

2018


URL

2 Research paper (scientific journal)
Joint
Characterizations of three homogeneous real hypersurfaces in a complex projective space
Makoto Kimura and Sadahiro Maeda
Hokkaido Mathematical Journal

47, 291-316
2018/06/01


URL

3 Research paper (scientific journal)
Joint
The homogeneous ruled real hypersurface in a complex hyperbolic space
Makoto Kimura, Sadahiro Maeda and Hiromasa Tanabe
Journal of Geometry
Springer

2018

10.1007/s00022-018-0421-7


4 Research paper (scientific journal)
Joint
Integral curves of the characteristic vector field of minimal ruled real hypersurfaces in non-flat complex space forms
Makoto Kimura,Sadahiro Maeda and Hiromasa Tanabe
Hokkaido Mathematical Journal


2018


URL

5 Research paper (scientific journal)
Only
Hopf hypersurfaces in complex projective space and half-dimensional totally complex submanifolds in complex $2$-plane Grassmannians II
Makoto Kimura
Differential Geometry and its Applications
Elsevier
54/ Part A, October, 44-52
2017/01/11

10.1016/j.difgeo.2016.12.007

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.
6 Research paper (scientific journal)
Joint
Levi-umbilical real hypersurfaces in a complex space form
Jong Taek Cho and Makoto Kimura
Nagoya Mathematical Journal

229, 99-112
2016/12/15

10.1017/nmj.2016.63


7 Research paper (scientific journal)
Joint
Hopf hypersurfaces in complex hyperbolic space and submanifolds in indefinite complex 2-plane Grassmannian I
Jong Taek Cho and Makoto Kimura
Topology and its Applications
Elsevier
196/ Part B, 594-607
2015/12/10

10.1016/j.topol.2014.06.018

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.
8 Research paper (scientific journal)
Joint
Reeb flow symmetry on almost contact three-manifolds
Jong Taek Cho and Makoto Kimura
Differential Geometry and its Applications
Elsevier
35/ Supplement, 266-273
2014/05/27

10.1016/j.difgeo.2014.05.002


9 Research paper (scientific journal)
Only
Hopf hypersurfaces in complex projective space and half-dimensional totally complex submanifolds in complex 2-plane Grassmannian I
Makoto Kimura
Differential Geometry and its Applications
Elsevier
35/ Supplement, 156-163
2014/05/24

10.1016/j.difgeo.2014.04.004

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.
10 Research paper (scientific journal)
Joint
Austere hypersurfaces in 5-sphere and real hypersurfaces in complex projective plane
Jong Taek Cho and Makoto Kimura
Proceedings of the workshop on Differential Geometry of Submanifolds and its related topics Saga, August 4-6, 2012
World Scientific
245-259
2013

10.1142/9789814566285_0021


11 Research paper (scientific journal)
Joint
Real Hypersurfaces in Complex Two-Plane
Grassmannians with generalized Tanaka-Webster
Reeb Parallel Shape Operator
Imsoon Jeong,  Makoto Kimura, 
Hyunjin Lee,  Young Jin Suh
Monatsh Math.
Springer
171/ 3-4, 357-376
2013

10.1007/s00605-013-0475-4


12 Research paper (scientific journal)
Joint
Transversal symmetries on real hypersurfaces in a complex space form
Jong Taek Cho and Makoto Kimura
Hiroshima Mathematical Journal

43/ 2, 223-228
2013


URL

13 Research paper (scientific journal)
Joint
Ricci solitons on locally conformally flat hypersurfaces in space forms
Jong Taek Cho and Makoto Kimura
Journal of Geometry and Physics
Elsevier
62/ 8, 1882-1891
2012

10.1016/j.geomphys.2012.04.006

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.
14 Research paper (scientific journal)
Joint
Curvature of Hopf hypersurfaces in a complex space form
Jong Taek Cho and Makoto Kimura
Results in Mathematics
Birkhäuser
61/ 1-2, 127-135
2012/02

10.1007/s00025-010-0080-y


15 (MISC) Introduction and explanation (bulletin of university, research institution)
Joint
Ruled Lagrangian submanifolds in complex Euclidean 3-space
Jong Taek Cho and Makoto Kimura
Mem. Fac. Sci. Eng. Shimane Univ. Ser. B Math. Sci.

44, 17-26
2011


URL

16 (MISC) Introduction and explanation (bulletin of university, research institution)
Joint
η-umbilical hypersurfaces in P2C and H2C
Jong Taek Cho and Makoto Kimura
Mem. Fac. Sci. Eng. Shimane Univ. Ser. B Math. Sci.

44, 27-32
2011


URL

17 Research paper (scientific journal)
Joint
Ricci solitons of compact real hypersurfaces in Kähler manifolds
Jong Taek Cho and Makoto Kimura
Mathematische Nachrichten
Wiley-VCH
284/ 11-12, 1385-1393
2011/08

10.1002/mana.200910186


18 (MISC) Introduction and explanation (bulletin of university, research institution)
Joint
RICCI SOLITONS AND LAGRANGIAN SUBMANIFOLDS IN
KAHLER MANIFOLDS
JONG TAEK CHO AND MAKOTO KIMURA
Mem. Fac. Sci. Eng. Shimane Univ.
Series B: Mathematical Science

43, 27-32
2010


URL

19 Research paper (scientific journal)
Joint
Ricci solitons and real hypersurfaces in a complex space form
Jong Taek Cho and Makoto Kimura
Tohoku Mathematical Journal

61/ 2, 205-212
2009

10.2748/tmj/1245849443


20 (MISC) Introduction and explanation (international conference proceedings)
Only
Lagrangian submanifolds with totally geodesic foliation in complex projective space
Makoto Kimura
Proceedings of the 12th International Workshop on Differential Geometry and Related Fields

12, 115–118
2008


URL

21 (MISC) Introduction and explanation (international conference proceedings)
Joint
Fundamental theorems of Lagrangian surfaces in S2×S2
Makoto Kimura and Kaoru Suizu
Proceedings of the 12th International Workshop on Differential Geometry and Related Fields

12, 119-124
2008


URL

22 Research paper (scientific journal)
Only
Lagrangian submanifolds with codimension 1 totally geodesic foliation in complex projective spaces
Makoto Kimura
Kodai Mathematical Journal

31/ 1, 38-45
2008

10.2996/kmj/1206454549


23 Research paper (scientific journal)
Joint
PSEUDO-HOLOMORPHIC SECTIONAL CURVATURES OF REAL HYPERSURFACES IN A COMPLEX SPACE FORM
Jong Taek Cho and Makoto Kimura
Kyushu Journal of Mathematics

62/ 1, 75-87
2008

10.2206/kyushujm.62.75


24 Research paper (scientific journal)
Joint
Sectional curvatures of some homogeneous real hypersurfaces in a complex projective space
Sadahiro Maeda and Makoto Kimura
Topics in contemporary differential geometry, complex analysis and mathematical physics
World Scientific
196–204
2007

10.1142/9789812709806_0021


25 Research paper (scientific journal)
Joint
Fundamental theorems of Lagrangian surfaces in S2×S2
Makoto Kimura and Kaoru Suizu
Osaka Journal of Mathematics

44/ 4, 829-850
2007


URL

26 (MISC) Introduction and explanation (international conference proceedings)
Only
A generalization of Cartan hypersurfaces
Makoto Kimura
Proceedings of the Ninth International Workshop on Differential Geometry

9, 51-59
2005


URL

27 (MISC) Introduction and explanation (international conference proceedings)
Only
A class of real hypersurfaces in complex projective space
Makoto Kimura
Proceedings of the Ninth International Workshop on Differential Geometry

9, 61-67
2005


URL

28 Research paper (scientific journal)
Joint
Totally umbilic hypersurfaces and isoparametric hypersurfaces in space forms
Makoto Kimura and Sadahiro Maeda
Contemporary aspects of complex analysis, differential geometry and mathematical physics
World Scientific
149–157
2005

10.1142/9789812701763_0014


29 Research paper (scientific journal)
Joint
Real hypersurfaces some of whose geodesics are plane curves in nonflat complex space forms
Toshiaki Adachi, Makoto Kimura, and Sadahiro Maeda
Tohoku Mathematical Journal

57/ 2, 223-230
2005

10.2748/tmj/1119888336


30 Research paper (scientific journal)
Joint
Congruent classes of Frenet curves in complex quadrics
Makoto Kimura and Miguel Ortega
Journal of Geometry
Birkhäuser
83/ 1-2, 121-136
2005

10.1007/s00022-005-0001-5


31 (MISC) Introduction and explanation (bulletin of university, research institution)
Only
Space of geodesics in hyperbolic spaces and Lorentz numbers
Makoto Kimura
Mem. Fac. Sci. Eng. Shimane Univ. Ser. B Math. Sci.

36, 61-67
2003


URL

32 Research paper (scientific journal)
Joint
Submanifolds with degenerate Gauss mappings in spheres
Goo Ishikawa, Makoto Kimura and Reiko Miyaoka
Advanced Studies in Pure Mathematics
Math. Soc. Japan
37, 115-149
2002


URL

33 (MISC) Introduction and explanation (bulletin of university, research institution)
Joint
Submanifolds with degenerate Gauss mappings in spheres
G. Ishikawa, M. Kimura and R. Miyaoka
Josai Math. Monogr.

3, 125-138
2001


URL

34 Research paper (scientific journal)
Joint
Geometry of Holomorphic Distributions of Real Hypersurfaces in a Complex Projective Space
U-Hang Ki, Makoto Kimura and Sadahiro Maeda
Czechoslovak Mathematical Journal
Springer
51/ 1, 197-204
2001

10.1023/A:1013774326200


35 Research paper (scientific journal)
Joint
Geometric Meaning of Isoparametric Hypersurfaces in a Real Space Form
Makoto Kimura and Sadahiro Maeda
Canadian Mathematical Bulletin
Canadian Math. Soc.
43, 74-78
2000

10.4153/CMB-2000-011-3


36 Research paper (scientific journal)
Only
Minimal immersions of some circle bundles over holomorphic curves in complex quadric to sphere
Makoto Kimura
Osaka Journal of Mathematics

37/ 4, 883-903
2000


URL

37 Research paper (scientific journal)
Joint
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

10.1007/s000130050402


38 (MISC) Introduction and explanation (bulletin of university, research institution)
Only
A geometric interpretation of isoparametric hypersurfaces
Makoto Kimura
Sūrikaisekikenkyūsho Kōkyūroku

1044, 1-3
1998


URL

39 (MISC) Introduction and explanation (bulletin of university, research institution)
Only
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

46, 21-33
1997


URL

40 Research paper (scientific journal)
Only
Curves in SU(n+1)/SO(n+1) and some submanifolds in Pn(C)
Makoto Kimura
Saitama Mathematical Journal

14, 79-89
1996


URL

41 (MISC) Introduction and explanation (bulletin of university, research institution)
Only
Some Non-Homogeneous Real Hypersurfaces in a Complex Projective Space-2-(Characterization)
Makoto Kimura
Bull. Fac. Educ., Ibaraki Univ,(Nat. Sci.)

44, 17-31
1995




42 (MISC) Introduction and explanation (bulletin of university, research institution)
Only
Some Non-Homogeneous Real Hypersurfaces in a Complex Projective Space-1-(Construction)
Makoto Kimura
Bull. Fac. Educ., Ibaraki Univ,(Nat. Sci.)

44, 1-16
1995




43 Research paper (scientific journal)
Joint
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


URL

44 (MISC) Introduction and explanation (bulletin of university, research institution)
Only
SOME SUBMANIFOLDS OF COMPLEX PROJECTIVE SPACES
Makoto Kimura
Sūrikaisekikenkyūsho Kōkyūroku

907, 63-66
1995/05


URL

45 Research paper (scientific journal)
Only
Kähler surfaces in Pn given by holomorphic maps from P1 to Pn−2
Makoto Kimura
Archiv der Mathematik
Birkhäuser
63/ 5, 472-476
1994

10.1007/BF01196679


46 Research paper (scientific journal)
Joint
On real hypersurfaces of a complex projective space III
Makoto Kimura and Sadahiro Maeda
Hokkaido Mathematical Journal

22/ 1, 63-78
1993


URL

47 Research paper (scientific journal)
Only
Minimal Hypersurfaces Foliated by Geodesics of 4-Dimensional Space Forms
Makoto Kimura
Tokyo Journal of Mathematics

16/ 1, 241-260
1993

10.3836/tjm/1270128995


48 Research paper (scientific journal)
Only
O(p)×O(q)-invariant minimal hypersurfaces in hyperbolic space
Makoto Kimura
Nihonkai Mathematical Journal

4/ 2, 233–238
1993


URL

49 Research paper (scientific journal)
Only
Correction to: "Some real hypersurfaces of a complex projective space''
Makoto Kimura
Saitama Math. J.

10, 33-34
1992


URL

50 Research paper (scientific journal)
Joint
Characterizations of geodesic hyperspheres in a complex projective space in terms of Ricci tensors
Makoto Kimura and Sadahiro Maeda
Yokohama Mathematical Journal

40/ 1, 35-43
1992


URL

51 Research paper (scientific journal)
Joint
On real hypersurfaces of a complex projective space II
Makoto Kimura and Sadahiro Maeda
Tsukuba Journal of Mathematics

15/ 2, 547-561
1991


URL

52 Research paper (scientific journal)
Joint
On real hypersurfaces of a complex projective space
Makoto Kimura and Sadahiro Maeda
Mathematische Zeitschrift
Springer
202/ 3, 299-311
1989

10.1007/BF01159962


53 Research paper (scientific journal)
Only
Some real hypersurfaces of a complex projective space
Makoto Kimura
Saitama Math. J.

5, 1-5
1987


URL

54 Research paper (scientific journal)
Only
Sectional curvatures of holomorphic planes on a real hypersurface in Pn(C)
Makoto Kimura
Mathematische Annalen
Springer
276/ 3, 487-497
1987

10.1007/BF01450843


55 Research paper (scientific journal)
Only
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

10.1090/S0002-9947-1986-0837803-2


56 Research paper (scientific journal)
Only
Real hypersurfaces of a complex projective space
Makoto Kimura
Bulletin of the Australian Mathematical Society
Austral. Math. Publ. Assoc.
33/ 3, 383-387
1986

10.1017/S0004972700003968


57 Research paper (scientific journal)
Only
Complex submanifolds of certain non-Kaehler manifolds
Makoto Kimura
Kodai Mathematical Journal

8/ 1, 90-98
1985

10.2996/kmj/1138037000