Maximal volume entropy rigidity for RCD∗(−(N−1),N) spaces

DOI10.1112/jlms.12470zbMath1491.53054arXiv1809.06909OpenAlexW2890043065MaRDI QIDQ5034130

Xianzhe Dai, Raquel Perales, Chris Connell, Jesús Núñez-Zimbrón, Guofang Wei, Pablo Suárez-Serrato

Publication date: 24 February 2022

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.06909

zbMATH Keywords

rigidityvolume entropyalmost rigidity\(\mathrm{RCD}^*(-(N-1),N)\) spaces

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Related Items (4)

Quantitative maximal volume entropy rigidity on Alexandrov spaces ⋮ Rigidity of mass-preserving 1-Lipschitz maps from integral current spaces into \(\mathbb{R}^n\) ⋮ Quantitative rigidity of almost maximal volume entropy for both \(\mathsf{RCD}^\ast\) spaces and integral Ricci curvature bound ⋮ Topological and Geometric Rigidity for Spaces with Curvature Bounded Below

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