Generalized Bakry–Émery Curvature Condition and Equivalent Entropic Inequalities in Groups
نویسندگان
چکیده
We study a generalization of the Bakry-\'Emery pointwise gradient estimate for heat semigroup and its equivalence with some entropic inequalities along flow Wasserstein geodesics metric-measure spaces suitable group structure. Our main result applies to Carnot groups any step $\mathbb{SU}(2)$ group.
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 2022
ISSN: ['1559-002X', '1050-6926']
DOI: https://doi.org/10.1007/s12220-021-00762-6