Radius sphere theorems for compact manifolds with radial curvature bounded below

Kei Kondo

doi:10.3836/tjm/1202136689

Radius sphere theorems for compact manifolds with radial curvature bounded below

Kei Kondo

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We show a radius sphere theorem for a compact Riemannian manifold whose radial curvature at the base point is bounded from below by that of a 2-sphere of revolution. The diameter sphere theorem is expanded to a wide class of metrics.

Original language	English
Pages (from-to)	465-475
Number of pages	11
Journal	Tokyo Journal of Mathematics
Volume	30
Issue number	2
DOIs	https://doi.org/10.3836/tjm/1202136689
Publication status	Published - 2007
Externally published	Yes

Keywords

2-sphere of revolution
Radial curvature
Radius sphere theorem
Riemannian manifold

ASJC Scopus subject areas

Mathematics(all)

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10.3836/tjm/1202136689

Cite this

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title = "Radius sphere theorems for compact manifolds with radial curvature bounded below",

abstract = "We show a radius sphere theorem for a compact Riemannian manifold whose radial curvature at the base point is bounded from below by that of a 2-sphere of revolution. The diameter sphere theorem is expanded to a wide class of metrics.",

keywords = "2-sphere of revolution, Radial curvature, Radius sphere theorem, Riemannian manifold",

author = "Kei Kondo",

year = "2007",

doi = "10.3836/tjm/1202136689",

language = "English",

volume = "30",

pages = "465--475",

journal = "Tokyo Journal of Mathematics",

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PY - 2007

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KW - 2-sphere of revolution

KW - Radial curvature

KW - Radius sphere theorem

KW - Riemannian manifold

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JO - Tokyo Journal of Mathematics

JF - Tokyo Journal of Mathematics

IS - 2

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Radius sphere theorems for compact manifolds with radial curvature bounded below

Abstract

Keywords

ASJC Scopus subject areas

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