Accepted Paper

Inserted: 29 aug 2020
Last Updated: 20 oct 2021

Journal: J. Geom. Anal.
Year: 2020

Abstract:

We study a generalization of the Bakry-Émery pointwise gradient estimate for the heat semigroup and its equivalence with some entropic inequalities along the heat flow and Wasserstein geodesics for metric-measure spaces with a suitable group structure. Our main result applies to Carnot groups of any step and to the $\mathbb{SU}(2)$ group.

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• Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups