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arXiv · 1211.3770

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

Gang Liu
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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 $f$ is bounded.

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Gang Liu. 2012-11-21. Stable weighted minimal surfaces in manifolds with nonnegative Bakry-Emery Ricci tensor. https://arxiv.org/abs/1211.3770

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