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

Gang Liu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)1061-1079
Number of pages19
JournalCommunications in Analysis and Geometry
Volume21
Issue number5
DOIs
StatePublished - Dec 1 2013

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Stable weighted minimal surfaces in manifolds with non-negative Bakry-Emery Ricci tensor'. Together they form a unique fingerprint.

Cite this