Article ID Journal Published Year Pages File Type
4615772 Journal of Mathematical Analysis and Applications 2014 10 Pages PDF
Abstract

In this paper we prove general inequalities involving the weighted mean curvature of compact submanifolds immersed in weighted manifolds. As a consequence we obtain a relative linear isoperimetric inequality for such submanifolds. We also prove an extrinsic upper bound to the first non-zero eigenvalue of the drift Laplacian on closed submanifolds of weighted manifolds.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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