Curvature-dimension estimates for the Laplace-Beltrami operator of a totally geodesic foliation
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Publication:494197
DOI10.1016/j.na.2015.06.025zbMath1329.58017arXiv1412.3777OpenAlexW2964220041MaRDI QIDQ494197
Fabrice Baudoin, Michel Bonnefont
Publication date: 31 August 2015
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.3777
Elliptic equations on manifolds, general theory (58J05) Foliations (differential geometric aspects) (53C12) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items (5)
Sub-Laplacians on sub-Riemannian manifolds ⋮ Sub-Riemannian curvature of Carnot groups with rank-two distributions ⋮ Horizontal holonomy and foliated manifolds ⋮ Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations ⋮ Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups
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- Hypercontractivity of Hamilton-Jacobi equations.
- Poincaré inequalities and hitting times
- Transverse Weitzenböck formulas and curvature dimension inequalities on Riemannian foliations with totally geodesic leaves
- Einstein manifolds
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