Stochastic analysis on sub-Riemannian manifolds with transverse symmetries

DOI10.1214/14-AOP964zbMath1386.58019arXiv1402.4490OpenAlexW1505321736WikidataQ115240853 ScholiaQ115240853MaRDI QIDQ516115

Fabrice Baudoin

Publication date: 22 March 2017

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4490

zbMATH Keywords

Brownian motionsub-Riemannian manifoldBochner-Weitzenbock formula

Mathematics Subject Classification ID

Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Sub-Riemannian geometry (53C17)

Related Items (9)

Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds ⋮ Radial processes for sub-Riemannian Brownian motions and applications ⋮ On logarithmic Sobolev inequalities for the heat kernel on the Heisenberg group ⋮ Decompositions of Diffusion Operators and Related Couplings ⋮ Fisher information and logarithmic Sobolev inequality for matrix-valued functions ⋮ Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations ⋮ Stochastic completeness and gradient representations for Sub-Riemannian manifolds ⋮ Transverse Weitzenböck formulas and de Rham cohomology of totally geodesic foliations ⋮ The Lichnerowicz-Obata theorem on sub-Riemannian manifolds with transverse symmetries

This page was built for publication: Stochastic analysis on sub-Riemannian manifolds with transverse symmetries