Ricci tensor for diffusion operators and curvature-dimension inequalities under conformal transformations and time changes
From MaRDI portal
Publication:1635681
DOI10.1016/j.jfa.2018.03.022zbMath1419.58020arXiv1401.0687OpenAlexW2962908788MaRDI QIDQ1635681
Publication date: 1 June 2018
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.0687
Diffusion processes and stochastic analysis on manifolds (58J65) Global Riemannian geometry, including pinching (53C20)
Related Items (17)
Maximal volume entropy rigidity for RCD∗(−(N−1),N) spaces ⋮ Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds ⋮ Lecture notes on differential calculus on \(\mathsf{RCD}\) spaces ⋮ New characterizations of Ricci curvature on RCD metric measure spaces ⋮ Rigidity of cones with bounded Ricci curvature ⋮ Gradient flows for semiconvex functions on metric measure spaces – existence, uniqueness, and Lipschitz continuity ⋮ Obata's rigidity theorem for metric measure spaces ⋮ Metric measure spaces and synthetic Ricci bounds: fundamental concepts and recent developments ⋮ The rigidity of sharp spectral gap in non-negatively curved spaces ⋮ Conformal deformations of CAT(0) spaces ⋮ Improved regularity estimates for Lagrangian flows on \(\mathrm{RCD}(K,N)\) spaces ⋮ Second order differentiation formula on \(\mathsf{RCD}^*(K,N)\) spaces ⋮ Super-Ricci flows for metric measure spaces ⋮ Conformal transformation on metric measure spaces ⋮ Bakry-Émery Ricci curvature bounds for doubly warped products of weighted spaces ⋮ Riemann curvature tensor on \(\mathsf{RCD}\) spaces and possible applications ⋮ Curvature-dimension conditions under time change
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds
- On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces
- Dirichlet forms and symmetric Markov processes.
- Gradient estimates for harmonic functions on regular domains in Riemannian manifolds
- Some new results on eigenvectors via dimension, diameter, and Ricci curvature
- Sobolev inequalities and Myers's diameter theorem for an abstract Markov generator
- Conformal transformation on metric measure spaces
- Ricci curvature for metric-measure spaces via optimal transport
- On the geometry of metric measure spaces. I
- On the geometry of metric measure spaces. II
- Analysis and Geometry of Markov Diffusion Operators
- Estimates of the first Neumann eigenvalue and the log‐Sobolev constant on non‐convex manifolds
This page was built for publication: Ricci tensor for diffusion operators and curvature-dimension inequalities under conformal transformations and time changes
