Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615772 | Journal of Mathematical Analysis and Applications | 2014 | 10 Pages |
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
M. Batista, M.P. Cavalcante, J. Pyo,