Milnor conjecture (Ricci curvature)
id:
milnor-conjecture-ricci-curvature-171-16089849
title:
Milnor conjecture (Ricci curvature)
text:
In 1968 John Milnor conjectured that the fundamental group of a complete manifold is finitely generated if its Ricci curvature stays nonnegative. In an oversimplified interpretation, such a manifold has a finite number of "holes". A version for almost-flat manifolds holds from work of Gromov. In two dimensions M 2 has finitely generated fundamental group as a consequence that if Ric > 0 for noncompact M 2, then it is flat or diffeomorphic to R 2, by work of Cohn-Vossen from 1935. In three dimens
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Milnor_conjecture_(Ricci_curvature)
date created:
2024-05-15T22:20:17Z
date modified:
2024-09-01T14:06:50Z
main entity:
{"identifier":"Q126193031","url":"https://www.wikidata.org/entity/Q126193031"}
image:
fields total:
13
integrity:
14