3-Manifolds with nonnegative Ricci curvature

被引：36

作者：

Liu, Gang ^{[1
]}

机构：

[1] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA

来源：

INVENTIONES MATHEMATICAE | 2013年 / 193卷 / 02期

关键词：

THEOREM; PROOF;

D O I：

10.1007/s00222-012-0428-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a complete noncompact 3-manifold with nonnegative Ricci curvature, we prove that either it is diffeomorphic to a"e(3) or the universal cover splits. This confirms Milnor's conjecture in dimension 3.

引用

页码：367 / 375

页数：9

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