1 
Research paper (scientific journal)

Only

Hopf hypersurfaces in complex projective space and halfdimensional totally complex submanifolds in complex $2$plane Grassmannians II

Makoto Kimura

Differential Geometry and its Applications

Elsevier

54/ Part A, October, 4452

2017/01/11


10.1016/j.difgeo.2016.12.007


We show that Hopf hypersurfaces in complex projective space are constructed from halfdimensional totally complex submanifolds in complex 2plane Grassmannian and Legendrian submanifolds in the twistor space.

2 
Research paper (scientific journal)

Joint

Leviumbilical real hypersurfaces in a complex space form

Jong Taek Cho and Makoto Kimura

Nagoya Mathematical Journal


229, 99112

2016/12/15


10.1017/nmj.2016.63



3 
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


4 
Research paper (scientific journal)

Joint

Characterizations of three homogeneous real hypersurfaces in a complex projective space

Makoto Kimura and Sadahiro Maeda

Hokkaido Mathematical Journal



2018



URL


5 
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/s0002201804217



6 
Research paper (scientific journal)

Joint

Integral curves of the characteristic vector field of minimal ruled real hypersurfaces in nonflat complex space forms

Makoto Kimura，Sadahiro Maeda and Hiromasa Tanabe

Hokkaido Mathematical Journal



2018



URL


7 
Research paper (scientific journal)

Joint

Hopf hypersurfaces in complex hyperbolic space and submanifolds in indefinite complex 2plane Grassmannian I

Jong Taek Cho and Makoto Kimura

Topology and its Applications

Elsevier

196/ Part B, 594607

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 2plane Grassmannian. We show that if a real hypersurface is Hopf, then the image of the Gauss map is a halfdimensional regular submanifold and has a nice behavior under paraquaternionic 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 paracomplex) submanifold with respect to the paraquaternionic Kähler structure of indefinite complex 2plane Grassmannian, provided that the induced metric is nondegenerate.

8 
Research paper (scientific journal)

Joint

Reeb flow symmetry on almost contact threemanifolds

Jong Taek Cho and Makoto Kimura

Differential Geometry and its Applications

Elsevier

35/ Supplement, 266273

2014/05/27


10.1016/j.difgeo.2014.05.002



9 
Research paper (scientific journal)

Only

Hopf hypersurfaces in complex projective space and halfdimensional totally complex submanifolds in complex 2plane Grassmannian I

Makoto Kimura

Differential Geometry and its Applications

Elsevier

35/ Supplement, 156163

2014/05/24


10.1016/j.difgeo.2014.04.004


We define Gauss map from a real hypersurface in complex projective space to complex 2plane Grassmannian. We show that if a real hypersurface is Hopf, then the image of the Gauss map is a halfdimensional totally complex submanifold with respect to quaternionic Kähler structure of complex 2plane Grassmannian.

10 
Research paper (scientific journal)

Joint

Austere hypersurfaces in 5sphere 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 46, 2012

World Scientific

245259

2013


10.1142/9789814566285_0021



11 
Research paper (scientific journal)

Joint

Real Hypersurfaces in Complex TwoPlane Grassmannians with generalized TanakaWebster Reeb Parallel Shape Operator

Imsoon Jeong, Makoto Kimura, Hyunjin Lee, Young Jin Suh

Monatsh Math.

Springer

171/ 34, 357376

2013


10.1007/s0060501304754



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, 223228

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, 18821891

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 nonlinear ODE. Hence there exists infinitely many mutually noncongruent 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/ 12, 127135

2012/02


10.1007/s000250100080y



15 
(MISC) Introduction and explanation (bulletin of university, research institution)

Joint

Ruled Lagrangian submanifolds in complex Euclidean 3space

Jong Taek Cho and Makoto Kimura

Mem. Fac. Sci. Eng. Shimane Univ. Ser. B Math. Sci.


44, 1726

2011



URL


16 
(MISC) Introduction and explanation (bulletin of university, research institution)

Joint

ηumbilical hypersurfaces in P2C and H2C

Jong Taek Cho and Makoto Kimura

Mem. Fac. Sci. Eng. Shimane Univ. Ser. B Math. Sci.


44, 2732

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

WileyVCH

284/ 1112, 13851393

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, 2732

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, 205212

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, 119124

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, 3845

2008


10.2996/kmj/1206454549



23 
Research paper (scientific journal)

Joint

PSEUDOHOLOMORPHIC SECTIONAL CURVATURES OF REAL HYPERSURFACES IN A COMPLEX SPACE FORM

Jong Taek Cho and Makoto Kimura

Kyushu Journal of Mathematics


62/ 1, 7587

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, 829850

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, 5159

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, 6167

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, 223230

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/ 12, 121136

2005


10.1007/s0002200500015



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, 6167

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, 115149

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, 125138

2001



URL


34 
Research paper (scientific journal)

Joint

Geometry of Holomorphic Distributions of Real Hypersurfaces in a Complex Projective Space

UHang Ki, Makoto Kimura and Sadahiro Maeda

Czechoslovak Mathematical Journal

Springer

51/ 1, 197204

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, 7478

2000


10.4153/CMB20000113



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, 883903

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, 303310

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, 13

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, 2133

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, 7989

1996



URL


41 
(MISC) Introduction and explanation (bulletin of university, research institution)

Only

Some NonHomogeneous Real Hypersurfaces in a Complex Projective Space2(Characterization)

Makoto Kimura

Bull. Fac. Educ., Ibaraki Univ,(Nat. Sci.)


44, 1731

1995





42 
(MISC) Introduction and explanation (bulletin of university, research institution)

Only

Some NonHomogeneous Real Hypersurfaces in a Complex Projective Space1(Construction)

Makoto Kimura

Bull. Fac. Educ., Ibaraki Univ,(Nat. Sci.)


44, 116

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, 135148

1995



URL


44 
(MISC) Introduction and explanation (bulletin of university, research institution)

Only

SOME SUBMANIFOLDS OF COMPLEX PROJECTIVE SPACES

Makoto Kimura

Sūrikaisekikenkyūsho Kōkyūroku


907, 6366

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, 472476

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, 6378

1993



URL


47 
Research paper (scientific journal)

Only

Minimal Hypersurfaces Foliated by Geodesics of 4Dimensional Space Forms

Makoto Kimura

Tokyo Journal of Mathematics


16/ 1, 241260

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, 3334

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, 3543

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, 547561

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, 299311

1989


10.1007/BF01159962



53 
Research paper (scientific journal)

Only

Some real hypersurfaces of a complex projective space

Makoto Kimura

Saitama Math. J.


5, 15

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, 487497

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, 137149

1986


10.1090/S00029947198608378032



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, 383387

1986


10.1017/S0004972700003968



57 
Research paper (scientific journal)

Only

Complex submanifolds of certain nonKaehler manifolds

Makoto Kimura

Kodai Mathematical Journal


8/ 1, 9098

1985


10.2996/kmj/1138037000


