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Bakry-Émery conditions on almost smooth metric measure spaces (Q1712892)

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Language	Label	Description	Also known as
English	Bakry-Émery conditions on almost smooth metric measure spaces	scientific article

Statements

scholarly article

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Bakry-Émery conditions on almost smooth metric measure spaces (English)

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Analysis and Geometry in Metric Spaces

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publication date

1 February 2019

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full work available at URL

https://arxiv.org/abs/1804.07043

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zbMATH Keywords

Ricci curvature

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metric measure space

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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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Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure

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Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces

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New stability results for sequences of metric measure spaces with uniform Ricci bounds from below

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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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Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope

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Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

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Weak and strong convergence of derivations and stability of flows with respect to MGH convergence

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A logarithmic Sobolev form of the Li-Yau parabolic inequality

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Structure theory of singular spaces

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Stratified spaces and synthetic Ricci curvature bounds

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Constancy of the Dimension for RCD(<i>K</i>,<i>N</i>) Spaces via Regularity of Lagrangian Flows

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The globalization theorem for the curvature-dimension condition

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Differentiability of Lipschitz functions on metric measure spaces

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Lower bounds on Ricci curvature and the almost rigidity of warped products

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On the structure of spaces with Ricci curvature bounded below. III

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SPACE OF RICCI FLOWS (II)—PART A: MODULI OF SINGULAR CALABI–YAU SPACES

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Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications

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Non-collapsed spaces with Ricci curvature bounded from below

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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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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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Sobolev met Poincaré

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Generalized doubling meets Poincaré

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A weakly second-order differential structure on rectifiable metric measure spaces

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Ricci curvature and \(L^{p}\)-convergence

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Cheeger-harmonic functions in metric measure spaces revisited

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Failure of topological rigidity results for the measure contraction property

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Ricci curvature for metric-measure spaces via optimal transport

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Local Poincaré inequalities from stable curvature conditions on metric spaces

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On the geometry of metric measure spaces. I

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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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10.1515/AGMS-2018-0007

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Sitelinks

Mathematics(1 entry)

mardi Publication:1712892

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