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

Mathematics

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

17 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 (US)
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 - Dec 1 2013

ASJC Scopus subject areas

Analysis
Statistics and Probability
Geometry and Topology
Statistics, Probability and Uncertainty

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

Abstract

ASJC Scopus subject areas

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