3-Manifolds with nonnegative Ricci curvature

Gang Liu

doi:10.1007/s00222-012-0428-x

3-Manifolds with nonnegative Ricci curvature

Gang Liu^*

^*此作品的通讯作者

University of Minnesota Twin Cities

科研成果: 期刊稿件 › 文章 › 同行评审

51 引用（Scopus）

摘要

For a complete noncompact 3-manifold with nonnegative Ricci curvature, we prove that either it is diffeomorphic to ℝ³ or the universal cover splits. This confirms Milnor's conjecture in dimension 3.

源语言	英语
页（从-至）	367-375
页数	9
期刊	Inventiones Mathematicae
卷	193
期	2
DOI	https://doi.org/10.1007/s00222-012-0428-x
出版状态	已出版 - 8月 2013
已对外发布	是

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author = "Gang Liu",

year = "2013",

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AB - For a complete noncompact 3-manifold with nonnegative Ricci curvature, we prove that either it is diffeomorphic to ℝ3 or the universal cover splits. This confirms Milnor's conjecture in dimension 3.

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DO - 10.1007/s00222-012-0428-x

M3 - 文章

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SN - 0020-9910

VL - 193

SP - 367

EP - 375

JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

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3-Manifolds with nonnegative Ricci curvature

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