INJECTIVITY PROPERTY OF REGULAR CURVES AND A SPHERE THEOREM

Differential Geometry of Submanifolds and its Related Topics ◽

10.1142/9789814566285_0002 ◽

2013 ◽

Author(s):

Osamu KOBAYASHI

Keyword(s):

Sphere Theorem ◽

Injectivity Property

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A differentiable sphere theorem with positive Ricci curvature and reverse volume pinching

Science China Mathematics ◽

10.1007/s11425-010-4126-0 ◽

2010 ◽

Vol 54 (3) ◽

pp. 603-610

Author(s):

PeiHe Wang ◽

YuLiang Wen

Keyword(s):

Ricci Curvature ◽

Sphere Theorem ◽

Positive Ricci Curvature ◽

Differentiable Sphere Theorem

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The invariant sphere theorem

Lectures on bifurcations, dynamics and symmetry ◽

10.1201/9780429332692-5 ◽

2020 ◽

pp. 50-57

Author(s):

Michael Field

Keyword(s):

Sphere Theorem ◽

Invariant Sphere

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A differentiable sphere theorem for compact Lagrangian submanifolds in complex Euclidean space and complex projective space

Communications in Analysis and Geometry ◽

10.4310/cag.2014.v22.n2.a4 ◽

2014 ◽

Vol 22 (2) ◽

pp. 269-288 ◽

Author(s):

Haizhong Li ◽

Xianfeng Wang

Keyword(s):

Euclidean Space ◽

Projective Space ◽

Complex Projective Space ◽

Lagrangian Submanifolds ◽

Sphere Theorem ◽

Complex Euclidean Space ◽

Complex Projective ◽

Differentiable Sphere Theorem

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A diameter pinching sphere theorem for positive Ricci curvature

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1989-0984822-x ◽

1989 ◽

Vol 107 (3) ◽

pp. 797-797 ◽

Author(s):

Jyh Yang Wu

Keyword(s):

Ricci Curvature ◽

Sphere Theorem ◽

Positive Ricci Curvature

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A differentiable sphere theorem with pinching integral RICCI curvature

Acta Mathematica Scientia ◽

10.1016/s0252-9602(11)60232-4 ◽

2011 ◽

Vol 31 (1) ◽

pp. 321-330

Author(s):

Wang Peihe ◽

Shen Chunli

Keyword(s):

Ricci Curvature ◽

Sphere Theorem ◽

Differentiable Sphere Theorem

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Addendum to Sphere Theorem on the Stokes Equation for Three-Dimensional Viscous Flow

Journal of the Physical Society of Japan ◽

10.1143/jpsj.64.3581 ◽

1995 ◽

Vol 64 (9) ◽

pp. 3581-3582 ◽

Author(s):

Hidenori Hasimoto

Keyword(s):

Viscous Flow ◽

Stokes Equation ◽

Three Dimensional ◽

Sphere Theorem ◽

The Stokes Equation

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Maximal Diameter Sphere Theorem for Manifolds with Nonconstant Radial Curvature

Tokyo Journal of Mathematics ◽

10.3836/tjm/1437506241 ◽

2015 ◽

Vol 38 (1) ◽

pp. 145-151

Author(s):

Nathaphon BOONNAM

Keyword(s):

Sphere Theorem ◽

Radial Curvature ◽

Maximal Diameter

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Chapter 7 The Differentiable Sphere Theorem

North-Holland Mathematical Library - Comparison Theorems in Riemannian Geometry ◽

10.1016/s0924-6509(08)70212-5 ◽

1975 ◽

pp. 118-133

Keyword(s):

Sphere Theorem ◽

Differentiable Sphere Theorem

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Conjugate Radius and Sphere Theorem

Canadian Mathematical Bulletin ◽

10.4153/cmb-1999-026-6 ◽

1999 ◽

Vol 42 (2) ◽

pp. 214-220 ◽

Author(s):

Seong-Hun Paeng ◽

Jong-Gug Yun

Keyword(s):

Lower Bound ◽

Injectivity Radius ◽

Sphere Theorem ◽

Standard Sphere

AbstractBessa [Be] proved that for given n and i0, there exists an depending on n, i0 such that if M admits a metric g satisfying , then M is diffeomorphic to the standard sphere. In this note, we improve this result by replacing a lower bound on the injectivity radius with a lower bound of the conjugate radius.

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A differentiable sphere theorem on manifolds with reverse volume pinching

Acta Mathematica Hungarica ◽

10.1007/s10474-007-7001-x ◽

2007 ◽

Vol 119 (1-2) ◽

pp. 63-69 ◽

Author(s):

P. Wang

Keyword(s):

Sphere Theorem ◽

Differentiable Sphere Theorem

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