Quantitative rigidity of almost maximal volume entropy for both \(\mathsf{RCD}^\ast\) spaces and integral Ricci curvature bound

DOI10.1016/j.aim.2024.109543arXiv2211.01082OpenAlexW4392049277MaRDI QIDQ6119793

Lina Chen, Shicheng Xu

Publication date: 25 March 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.01082

zbMATH Keywords

volume entropyintegral Ricci curvaturequantitative rigidity\textsf{RCD}-space

Mathematics Subject Classification ID

Metric geometry (51F99) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Synthetic differential geometry (51K10)

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