Calculus of Variations and Geometric Measure Theory
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B. Han

Ricci tensor on smooth metric measure space with boundary

created by han1 on 27 Sep 2017
modified on 28 Sep 2017

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Submitted Paper

Inserted: 27 sep 2017
Last Updated: 28 sep 2017

Year: 2017
Notes:

This is my preliminary attempt to study metric measure space with boundary.


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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