Rigidity and sphere theorem for manifolds with positive Ricci curvature
type: Item
instance of: scholarly article
title: Rigidity and sphere theorem for manifolds with positive Ricci curvature
zbMATH Open document ID: 0821.53034
DOI: 10.1007/BF02568185
published in: Manuscripta Mathematica
publication date: 1995-09-12T00:00:00Z
full work available at URL: https://eudml.org/doc/156009
review text: In the paper complete Riemannian manifolds of positive Ricci curvature with an embedded closed minimal hypersurface are investigated. The author proves results generalizing the following result due to Myers: There exists no closed immersed minimal submanifold in an open hemisphere. In addition a sphere theorem for manifolds of positive Ricci curvature with an upper bound for the sectional curvature and a lower bound for the volume is proved.
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 722247
zbMATH Keywords: Ricci curvature
zbMATH Keywords: closed immersed minimal submanifold
zbMATH Keywords: sphere theorem
author: Changyu Xia
reviewed by: Hans-Bert Rademacher
MaRDI profile type: Publication
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OpenAlex ID: W2036623927
description: scientific article; zbMATH DE number 722247