Stable weighted minimal surfaces in manifolds with non-negative Bakry-Emery Ricci tensor

Gang Liu

doi:10.4310/CAG.2013.v21.n5.a7

Stable weighted minimal surfaces in manifolds with non-negative Bakry-Emery Ricci tensor

Gang Liu^*

^*此作品的通讯作者

University of California at Berkeley

科研成果: 期刊稿件 › 文章 › 同行评审

27 引用（Scopus）

摘要

In this paper, we study stable weighted minimal hypersurfaces in manifolds with non-negative Bakry-Emery Ricci curvature. We will give some geometric and topological applications. In particular, we give some partial classification of complete 3-manifolds with non-negative Bakry-Emery Ricci curvature assuming that f is bounded.

源语言	英语
页（从-至）	1061-1079
页数	19
期刊	Communications in Analysis and Geometry
卷	21
期	5
DOI	https://doi.org/10.4310/CAG.2013.v21.n5.a7
出版状态	已出版 - 2013
已对外发布	是

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AB - In this paper, we study stable weighted minimal hypersurfaces in manifolds with non-negative Bakry-Emery Ricci curvature. We will give some geometric and topological applications. In particular, we give some partial classification of complete 3-manifolds with non-negative Bakry-Emery Ricci curvature assuming that f is bounded.

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Stable weighted minimal surfaces in manifolds with non-negative Bakry-Emery Ricci tensor

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