Add time:08/10/2019 Source:sciencedirect.com
In this paper, we present new almost Schur type inequalities for weighted manifolds, under constraints on k-Bakry-Emery Ricci tensor. We also address results for weighted manifolds with convex boundary. The main tools for these results are a Pohozaev-Schoen type identity to weighted manifolds and the Reilly identity for the k-Bakry Emery tensor.
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