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) |
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Pages (from-to) | 1061-1079 |
Number of pages | 19 |
Journal | Communications in Analysis and Geometry |
Volume | 21 |
Issue number | 5 |
DOIs | |
State | Published - 2013 |
ASJC Scopus subject areas
- Analysis
- Statistics and Probability
- Geometry and Topology
- Statistics, Probability and Uncertainty