Soul theorem
id:
soul-theorem-288-4784123
title:
Soul theorem
text:
In mathematics, the soul theorem is a theorem of Riemannian geometry that largely reduces the study of complete manifolds of non-negative sectional curvature to that of the compact case. Jeff Cheeger and Detlef Gromoll proved the theorem in 1972 by generalizing a 1969 result of Gromoll and Wolfgang Meyer. The related soul conjecture, formulated by Cheeger and Gromoll at that time, was proved twenty years later by Grigori Perelman.
brand slug:
wiki
category slug:
encyclopedia
description:
Complete manifolds of non-negative sectional curvature largely reduce to the compact case
original url:
https://en.wikipedia.org/wiki/Soul_theorem
date created:
date modified:
2024-04-19T08:17:17Z
main entity:
{"identifier":"Q4171386","url":"https://www.wikidata.org/entity/Q4171386"}
image:
fields total:
13
integrity:
14