Communications in Analysis and Geometry

Volume 21 (2013)

Number 5

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

Pages: 1061 – 1079

DOI: http://dx.doi.org/10.4310/CAG.2013.v21.n5.a7

Author

Gang Liu (Department of Mathematics, University of California at Berkeley)

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.

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