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- W1505321736 abstract "We prove a geometrically meaningful stochastic representation of the derivative of the heat semigroup on sub-Riemannian manifolds with tranverse symmetries. This representation is obtained from the study of Bochner–Weitzenböck type formulas for sub-Laplacians on 1-forms. As a consequence, we prove new hypoelliptic heat semigroup gradient bounds under natural global geometric conditions. The results are new even in the case of the Heisenberg group which is the simplest example of a sub-Riemannian manifold with transverse symmetries." @default.
- W1505321736 created "2016-06-24" @default.
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- W1505321736 date "2017-01-01" @default.
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- W1505321736 title "Stochastic analysis on sub-Riemannian manifolds with transverse symmetries" @default.
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- W1505321736 doi "https://doi.org/10.1214/14-aop964" @default.
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