Stable weighted minimal surfaces in manifolds with nonnegative Bakry-Emery Ricci tensor
Differential Geometry
2012-11-22 v3
Abstract
In this paper, we study stable weighted minimal hypersurfaces in manifolds with nonnegative Bakry-Emery Ricci curvature. We will give some geometric and topological applications. In particular, we give some partial classification of complete 3-manifolds with nonnegative Bakry-Emery Ricci curvature assuming that is bounded.
Keywords
Cite
@article{arxiv.1211.3770,
title = {Stable weighted minimal surfaces in manifolds with nonnegative Bakry-Emery Ricci tensor},
author = {Gang Liu},
journal= {arXiv preprint arXiv:1211.3770},
year = {2012}
}
Comments
14 pages, more references added