Curvature dimension inequalities and subelliptic heat kernel gradient bounds on contact manifolds

DOI10.1007/s11118-013-9345-xzbMath1321.53034arXiv1211.3778OpenAlexW2084987043MaRDI QIDQ2436554

Fabrice Baudoin, Jing Wang

Publication date: 25 February 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3778

zbMATH Keywords

contact manifoldBochner formulaheat semigroupgradient boundsstochastic completenessBonnet-Myers theoremcurvature dimension inequality

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (18)

Bakry-Émery meet Villani ⋮ Sub-Riemannian curvature of Carnot groups with rank-two distributions ⋮ Gradient bounds for Kolmogorov type diffusions ⋮ Volume and distance comparison theorems for sub-Riemannian manifolds ⋮ Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds ⋮ Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations. I ⋮ Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations. II ⋮ Decompositions of Diffusion Operators and Related Couplings ⋮ A Bonnet-Myers type theorem for quaternionic contact structures ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds ⋮ Curvature: A Variational Approach ⋮ Sub-Riemannian curvature in contact geometry ⋮ Comparison theorems for conjugate points in sub-Riemannian geometry ⋮ SUB-RIEMANNIAN RICCI CURVATURES AND UNIVERSAL DIAMETER BOUNDS FOR 3-SASAKIAN MANIFOLDS ⋮ H-type foliations ⋮ Generalized maximum principles and stochastic completeness for pseudo-Hermitian manifolds ⋮ The Lichnerowicz-Obata theorem on sub-Riemannian manifolds with transverse symmetries ⋮ Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups

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