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^*

^*Corresponding author for this work

University of California at Berkeley

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1061-1079
Number of pages	19
Journal	Communications in Analysis and Geometry
Volume	21
Issue number	5
DOIs	https://doi.org/10.4310/CAG.2013.v21.n5.a7
State	Published - 2013
Externally published	Yes

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abstract = "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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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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DO - 10.4310/CAG.2013.v21.n5.a7

M3 - 文章

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ER -

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

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