Ricci tensor on ${\rm RCD}^*(K, N)$ spaces

created by han1 on 16 Dec 2015
modified on 16 May 2017

[BibTeX]

Accepted Paper

Inserted: 16 dec 2015
Last Updated: 16 may 2017

Journal: The Journal of Geometric Analysis
Year: 2017
Doi: 10.1007/s12220-017-9863-7

Abstract:

We obtain an improved Bochner inequality based on the curvature-dimension condition ${\rm RCD}^*(K, N)$ and propose a definition of $N$-dimensional Ricci tensor on metric measure spaces.