Proof of the soul conjecture of Cheeger and Gromoll
type: Item
instance of: scholarly article
title: Proof of the soul conjecture of Cheeger and Gromoll
zbMATH Open document ID: 0818.53056
published in: Journal of Differential Geometry
publication date: 1995-08-01T00:00:00Z
review text: The soul conjecture of Cheeger and Gromoll states that the soul of a noncompact Riemannian manifold of nonnegative sectional curvature is a point if there is a point in the manifold where the sectional curvatures of all the 2-planes is positive. The author proves a more precise version of this theorem.
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 663771
zbMATH Keywords: soul conjecture
zbMATH Keywords: nonnegative curvature
Wikidata QID: Q115179209
reviewed by: Werner Ballmann
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214455292
OpenAlex ID: W1524955699
DOI: 10.4310/JDG/1214455292
author: Grigori Perelman
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description: scientific article; zbMATH DE number 663771