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1

A Generalized Sphere Theorem

Karsten Grove and Katsuhiro Shiohama

Journal:

Annals of Mathematics

Year:

1977

Language:

english

File:

PDF, 257 KB

english, 1977

2

A new version of differentiable sphere theorem

Yukio Otsu, Katsuhiro Shiohama, Takao Yamaguchi

Journal:

Inventiones mathematicae

Year:

1989

Language:

english

File:

PDF, 476 KB

english, 1989

3

Riemannian manifolds diffeomorphic to the complex projective space

Katsuhiro Shiohama

Journal:

Mathematische Annalen

Year:

1973

Language:

english

File:

PDF, 1.45 MB

english, 1973

4

The Cut Loci, Conjugate Loci and Poles in a Complete Riemannian Manifold

Nobuhiro Innami, Katsuhiro Shiohama, Toshiro Soga

Journal:

Geometric And Functional Analysis

Year:

2012

Language:

english

File:

PDF, 157 KB

english, 2012

5

A Sphere Theorem for Manifolds of Positive Ricci Curvature

Shiohama, Katsuhiro

Journal:

Transactions of the American Mathematical Society

Year:

1983

Language:

english

File:

PDF, 1.07 MB

english, 1983

6

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || L-functions in geometry and some applications

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 658 KB

english, 1986

7

Blaschke Finsler manifolds and actions of projective Randers changes on cut loci

Innami, Nobuhiro, Itokawa, Yoe, Nagano, Tetsuya, Shiohama, Katsuhiro

Journal:

Transactions of the American Mathematical Society

Year:

2018

Language:

english

File:

PDF, 292 KB

english, 2018

8

On the structures of positively curved manifolds with certain diameter

Takashi Sakai, Katsuhiro Shiohama

Journal:

Mathematische Zeitschrift

Year:

1972

Language:

english

File:

PDF, 383 KB

english, 1972

9

Complete noncompact Alexandrov spaces of nonnegative curvature

Katsuhiro Shiohama

Journal:

Archiv der Mathematik

Year:

1993

Language:

english

File:

PDF, 462 KB

english, 1993

10

Busemann functions and total curvature

Katsuhiro Shiohama

Journal:

Inventiones mathematicae

Year:

1979

Language:

english

File:

PDF, 1.01 MB

english, 1979

11

Cut locusand parallel circles of a closed curve on a riemannian plane admitting total curvature

Katsuhiro Shiohama

Journal:

Commentarii Mathematici Helvetici

Year:

1985

Language:

english

File:

PDF, 687 KB

english, 1985

12

An Integral Formula for Lipschitz-Killing Curvature and the Critical Points of Height Functions

Katsuhiro Shiohama, Hong-Wei Xu

Journal:

Journal of Geometric Analysis

Year:

2011

Language:

english

File:

PDF, 261 KB

english, 2011

13

The Topoligical Sphere Theorem for Complete Submanifolds

KATSUHIRO SHIOHAMA, HONGWEI XU

Journal:

Compositio Mathematica

Year:

1997

Language:

english

File:

PDF, 131 KB

english, 1997

14

The cut locus and Voronoi diagram of a finite set of points in a surface

Innami, Nobuhiro, Shiohama, Katsuhiro, Uneme, Yuya

Journal:

manuscripta mathematica

Year:

2015

Language:

english

File:

PDF, 366 KB

english, 2015

15

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || Combinatorial problems in spectral geometry

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 725 KB

english, 1986

16

A characterization of a standard torus in $E^3$

Shiohama, Katsuhiro, Takagi, Ryoichi

Journal:

Journal Of Differential Geometry

Year:

1970

Language:

english

File:

PDF, 650 KB

english, 1970

17

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || Non-homogeneous Kähler-Einstein metrics on compact complex manifolds

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 813 KB

english, 1986

18

The unboundedness of certain minimal submanifolds of positively curved Riemannian spaces

Yoe Itokawa, Katsuhiro Shiohama

Journal:

Differential Geometry and its Applications

Year:

1999

Language:

english

File:

PDF, 543 KB

english, 1999

19

Lower bound for Ln/2curvature norm and its application

Katsuhiro Shiohama, Hongwei Xu

Journal:

Journal of Geometric Analysis

Year:

1997

Language:

english

File:

PDF, 298 KB

english, 1997

20

Compactification and maximal diameter theorem for noncompact manifolds with radial curvature bounded below

Katsuhiro Shiohama, Minoru Tanaka

Journal:

Mathematische Zeitschrift

Year:

2002

Language:

english

File:

PDF, 133 KB

english, 2002

21

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || A vanishing theorem for piecewise constant curvature spaces

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 348 KB

english, 1986

22

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || Einstein metrics with positive scalar curvature

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 739 KB

english, 1986

23

The front of increasing concentric balls and cut locus in a surface

Innami, Nobuhiro, Shiohama, Katsuhiro, Uneme, Yuya

Journal:

Differential Geometry and its Applications

Year:

2014

Language:

english

File:

PDF, 304 KB

english, 2014

24

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || Large Riemannian manifolds

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 518 KB

english, 1986

25

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || Analytic inequalities, and rough isometries between non-compact Riemannian manifolds

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 816 KB

english, 1986

26

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || Curvature deformations

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 465 KB

english, 1986

27

Total Curvatures and Minimal Areas of Complete Open Surfaces

Katsuhiro Shiohama

Journal:

Proceedings of the American Mathematical Society

Year:

1985

Language:

english

File:

PDF, 222 KB

english, 1985

28

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || Remarks on the injectivity radius estimate for almost 1/4-pinched manifolds

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 444 KB

english, 1986

29

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || Critical points of Busemann functions on complete open surfaces

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 665 KB

english, 1986

30

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || Structure of manifolds of nonpositive sectional curvature

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 556 KB

english, 1986

31

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || On a compactification of the set of Riemannian manifolds with bounded curvatures and diameters

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 695 KB

english, 1986

32

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || On deformation of Riemannian metrics and manifolds with positive curvature operator

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 668 KB

english, 1986

33

Strictly convex functions on complete Finsler manifolds

ITOKAWA, YOE, SHIOHAMA, KATSUHIRO, TIWARI, BANKTESHWAR

Journal:

Proceedings Mathematical Sciences

Year:

2016

Language:

english

File:

PDF, 135 KB

english, 2016

34

Topology of complete Finsler manifolds admitting convex functions

Sabau, Sorin, Shiohama, Katsuhiro

Journal:

Pacific Journal of Mathematics

Year:

2015

Language:

english

File:

PDF, 410 KB

english, 2015

35

A general rigidity theorem for complete submanifolds

Shiohama, Katsuhiro, Xu, Hongwei

Journal:

Nagoya Mathematical Journal

Year:

1998

Language:

english

File:

PDF, 1.65 MB

english, 1998

36

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || Gap theorems for certain submanifolds of euclidean space and hyperbolic space form II

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 795 KB

english, 1986

37

[Handbook of Differential Geometry] Volume 1 || Sphere Theorems

Shiohama, Katsuhiro

Year:

2000

Language:

english

File:

PDF, 2.19 MB

english, 2000

38

The Geometry of Total Curvature on Complete Open Surfaces || Isoperimetric inequalities

Shiohama, Katsuhiro, Shioya, Takashi, Tanaka, Minoru

Year:

2003

Language:

english

File:

PDF, 424 KB

english, 2003

39

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || Uniformly locally convex filtrations on complete riemannian manifolds

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 701 KB

english, 1986

40

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || Quasiconformal mappings and manifolds of negative curvature

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 1.59 MB

english, 1986

41

Riemannian manifolds with positive radial curvature

MACHIGASHIRA, Yoshiroh, SHIOHAMA, Katsuhiro

Journal:

Japanese Journal of Mathematics

Year:

1993

Language:

english

File:

PDF, 1.02 MB

english, 1993

42

Conformally flat 3-manifolds with constant scalar curvature II

CHENG, Qing-Ming, ISHIKAWA, Susumu, SHIOHAMA, Katsuhiro

Journal:

Japanese Journal of Mathematics

Year:

2001

Language:

english

File:

PDF, 1.12 MB

english, 2001

43

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || Stability of harmonic maps and eigenvalues of laplacian

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 1.31 MB

english, 1986

44

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || On topological Blaschke conjecture III

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 594 KB

english, 1986

45

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || The first eigenvalue of the laplacian of an isoparametric minimal hypersurface in a unit sphere

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 632 KB

english, 1986

46

On Riemannian manifolds with certain cut loci

Nakagawa, Hisao, Shiohama, Katsuhiro

Journal:

Tohoku Mathematical Journal

Year:

1970

Language:

english

File:

PDF, 978 KB

english, 1970

47

[Lecture Notes in Mathematics] Curvature and Topology of Riemannian Manifolds Volume 1201 || A pinching problem for locally homogeneous spaces

Shiohama, Katsuhiro, Sakai, Takashi, Sunada, Toshikazu

Year:

1986

Language:

english

File:

PDF, 361 KB

english, 1986

48

Metric spheres in the projective spaces with constant holomorphic sectional curvature

Innami, Nobuhiro, Mashiko, Yukihiro, Shiohama, Katsuhiro

Journal:

Tsukuba Journal of Mathematics

Year:

2011

Language:

english

File:

PDF, 114 KB

english, 2011

49

Complete real hypersurfaces in compact rank one symmetric spaces

Hamada, Tatsuyoshi, Shiohama, Katsuhiro

Journal:

Proceedings of the American Mathematical Society

Year:

2009

Language:

english

File:

PDF, 143 KB

english, 2009

50

A theory of ruled surfaces in $E^{4}$

Ôtsuki, Tominosuke, Shiohama, Katsuhiro

Journal:

Kodai Mathematical Seminar Reports

Year:

1967

Language:

english

File:

PDF, 856 KB

english, 1967