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Coarse Ricci Curvature as a Function on M x M

Author:
Ache, Antonio G.  Warren, Micah W.  


Journal:
RESULTS IN MATHEMATICS


Issue Date:
2017


Abstract(summary):

We use the framework used by Bakry and Emery in their work on logarithmic Sobolev inequalities to define a notion of coarse Ricci curvature on smooth metric measure spaces alternative to the notion proposed by Y. Ollivier. This function can be used to recover the Ricci tensor on smooth Riemannian manifolds by the formula for any curve .


Page:
1823---1837


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