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

DOI10.1007/S11118-017-9656-4zbMath1406.53049arXiv1609.02098OpenAlexW2761737318WikidataQ59527736 ScholiaQ59527736MaRDI QIDQ1662910

Gerardo Sosa

Publication date: 20 August 2018

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.02098

zbMATH Keywords

metric spacesLie groupsRicci curvaturegroup actionsoptimal transportsynthetic Ricci curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (6)

Quantitative maximal volume entropy rigidity on Alexandrov spaces ⋮ Quantitative rigidity of almost maximal volume entropy for both \(\mathsf{RCD}^\ast\) spaces and integral Ricci curvature bound ⋮ Invariant measures and lower Ricci curvature bounds ⋮ On fundamental groups of RCD spaces ⋮ Looking for compactness in Sobolev spaces on noncompact metric spaces ⋮ The measure preserving isometry groups of metric measure spaces

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