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Invariant measures and lower Ricci curvature bounds (Q2196589)

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Language	Label	Description	Also known as
English	Invariant measures and lower Ricci curvature bounds	scientific article

Statements

scholarly article

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Invariant measures and lower Ricci curvature bounds (English)

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Jaime Santos-Rodríguez

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Potential Analysis

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publication date

3 September 2020

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full work available at URL

https://arxiv.org/abs/1810.11327

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zbMATH Keywords

Ricci curvature dimension

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metric measure space

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isometry group

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MaRDI profile type

MaRDI publication profile

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Lie Groups and Geometric Aspects of Isometric Actions

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

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Metric measure spaces with Riemannian Ricci curvature bounded from below

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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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Localization and tensorization properties of the curvature-dimension condition for metric measure spaces

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Homogeneous manifolds with intrinsic metric. II

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

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The fundamental groups of almost nonnegatively curved manifolds

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Isometry groups of Alexandrov spaces

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On quotients of spaces with Ricci curvature bounded below

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An overview of the proof of the splitting theorem in spaces with non-negative Ricci curvature

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On the differential structure of metric measure spaces and applications

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Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows

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On the notion of parallel transport on \textsf{RCD} spaces

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Optimal maps and exponentiation on finite-dimensional spaces with Ricci curvature bounded from below

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On the isometry group of \(RCD^*(K,N)\)-spaces

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Convergence of isometries, with semicontinuity of symmetry of Alexandrov spaces

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Homogeneous Riemannian spaces of four dimensions

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Transport maps, non-branching sets of geodesics and measure rigidity

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A sufficient condition to a regular set being of positive measure on spaces

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Characterization of low dimensional \(RCD^\ast(K, N)\) spaces

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Transformation groups in differential geometry.

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Ricci curvature for metric-measure spaces via optimal transport

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Gaps in the dimensions of isometry groups of Riemannian manifolds

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Structure theory of metric measure spaces with lower Ricci curvature bounds

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On the existence of slices for actions of non-compact Lie groups

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Non-branching geodesics and optimal maps in strong \(CD(K,\infty)\)-spaces

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The isometry group of an \(\mathsf{RCD}^*\) space is Lie

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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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Identifiers

zbMATH Open document ID

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10.1007/s11118-019-09790-y

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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:2196589

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