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 | |
| State | Published - 2013 |
ASJC Scopus subject areas
- Analysis
- Statistics and Probability
- Geometry and Topology
- Statistics, Probability and Uncertainty