Radius sphere theorems for compact manifolds with radial curvature bounded below

DOI10.3836/tjm/1202136689zbMath1145.53025OpenAlexW2018033603MaRDI QIDQ932992

Kei-Ichi Kondo

Publication date: 21 July 2008

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1202136689

zbMATH Keywords

Riemannian manifold2-sphere of revolutionradial curvatureradius sphere theorem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

A new family of latitudinally corrugated two-spheres of revolution with simple cut locus structure ⋮ Grove-Shiohama type sphere theorem in Finsler geometry ⋮ Generalized von Mangoldt surfaces of revolution and asymmetric two-spheres of revolution with simple cut locus structure ⋮ Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. I

Cites Work

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• Curvature, diameter and Betti numbers
• A generalized sphere theorem
• On the cut loci of a von Mangoldt's surface of revolution
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• Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung
• The cut locus of a two-sphere of revolution and Toponogov's comparison theorem
• Topology of complete manifolds with radial curvature bounded from below
• A contribution to differential geometry in the large

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