Ricci tensor on smooth 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.

7 pages

Cited by in corpus (1)

• Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds