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Super-Ricci flows for metric measure spaces (Q1800371)

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Language	Label	Description	Also known as
English	Super-Ricci flows for metric measure spaces	scientific article

Statements

scholarly article

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Super-Ricci flows for metric measure spaces (English)

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Karl-Theodor Sturm

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Journal of Functional Analysis

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publication date

23 October 2018

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full work available at URL

https://arxiv.org/abs/1603.02193

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zbMATH Keywords

metric measure space

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synthetic Ricci bound

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Ricci flow

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optimal transport

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MaRDI profile type

MaRDI publication profile

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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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Ricci Bounds for Euclidean and Spherical Cones

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Analysis and Geometry of Markov Diffusion Operators

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A complete proof of the Poincaré and geometrization conjectures -- application of the Hamilton-Perelman theory of the Ricci flow

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A Riemannian interpolation inequality à la Borell, Brascamp and Lieb

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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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Ricci flows with unbounded curvature

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A flow tangent to the Ricci flow via heat kernels and mass transport

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Notes on Perelman's papers

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Singular Ricci flows. I

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Geometric flows with rough initial data

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Gradient flow for the Boltzmann entropy and Cheeger's energy on time-dependent metric measure spaces

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Super-Ricci flows and improved gradient and transport estimates

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Differential Harnack estimates for positive solutions to heat equation under Finsler-Ricci flow

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Metric perspectives of the Ricci flow applied to disjoint unions

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Optimal transport and Perelman's reduced volume

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Ricci measure for some singular Riemannian metrics

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Ricci curvature for metric-measure spaces via optimal transport

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Ricci flow on surfaces with conic singularities

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Ricci flow, entropy and optimal transportation

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Heat flow on Finsler manifolds

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THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION

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Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality

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The Ricci flow on the sphere with marked points

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Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm

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Transport inequalities, gradient estimates, entropy and Ricci curvature

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Deformation of \(C^0\) Riemannian metrics in the direction of their Ricci curvature

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Ricci flow of non-collapsed three manifolds whose Ricci curvature is bounded from below

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Convex functionals of probability measures and nonlinear diffusions on manifolds

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

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Remarks about synthetic upper Ricci bounds for metric measure spaces

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ℒ-optimal transportation for Ricci flow

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Ricci flow on surfaces with conical singularities

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Identifiers

zbMATH Open document ID

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10.1016/j.jfa.2018.07.014

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1800371

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