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Ricci tensor on smooth metric measure space with boundary

Published 28 Sep 2017 in math.MG, math.DG, and math.FA | (1709.10143v1)

Abstract: The aim of this note is to study the measure-valued Ricci tensor on smooth metric measure space with boundary, which is a generalization of Bakry-Emery's modified Ricci tensor on weighted Riemannian manifold. As an application, we offer a new approach to study curvature-dimension condition of smooth metric measure space with boundary.

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