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Curvature-dimension conditions under time change (Q2118042)

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Language	Label	Description	Also known as
English	Curvature-dimension conditions under time change	scientific article

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scholarly article

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Curvature-dimension conditions under time change (English)

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Karl-Theodor Sturm

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Annali di Matematica Pura ed Applicata. Serie Quarta

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publication date

22 March 2022

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zbMATH Keywords

metric measure space

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curvature-dimension condition

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time change

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Bakry-Émery theory

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Dirichlet form

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10231-021-01138-x

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Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

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Metric measure spaces with Riemannian Ricci curvature bounded from below

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Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds

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On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces

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An overview of L1 Optimal Transportation on metric measure spaces

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The globalization theorem for the curvature-dimension condition

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Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds

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New formulas for the Laplacian of distance functions and applications

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On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces

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Dirichlet forms and symmetric Markov processes.

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On the differential structure of metric measure spaces and applications

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Nonsmooth differential geometry– An approach tailored for spaces with Ricci curvature bounded from below

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Conformal transformation on metric measure spaces

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Ricci tensor on \(\mathrm{RCD}^\ast(K,N)\) spaces

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Intrinsic geometry and analysis of diffusion processes and \(L^{\infty}\)-variational problems

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Neumann heat flow and gradient flow for the entropy on non-convex domains

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Ricci curvature for metric-measure spaces via optimal transport

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Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces

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Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations

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On the geometry of metric measure spaces. I

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On the geometry of metric measure spaces. II

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Gradient flows for semiconvex functions on metric measure spaces – existence, uniqueness, and Lipschitz continuity

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Ricci tensor for diffusion operators and curvature-dimension inequalities under conformal transformations and time changes

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Distribution-valued Ricci bounds for metric measure spaces, singular time changes, and gradient estimates for Neumann heat flows

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10231-021-01138-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:2118042

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