Quantitative maximal volume entropy rigidity on Alexandrov spaces (Q5081538)

scientific article; zbMATH DE number 7541848

Language	Label	Description	Also known as
English	Quantitative maximal volume entropy rigidity on Alexandrov spaces	scientific article; zbMATH DE number 7541848

Statements

instance of

scholarly article

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title

Quantitative maximal volume entropy rigidity on Alexandrov spaces (English)

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author

Lina Chen

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published in

Proceedings of the American Mathematical Society

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publication date

15 June 2022

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full work available at URL

https://arxiv.org/abs/2007.14061

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zbMATH Keywords

Alexandrov space

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Gromov-Hausdorff distance

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hyperbolic manifold

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MaRDI profile type

MaRDI publication profile

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cites work

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Metric measure spaces with Riemannian Ricci curvature bounded from below

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

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Q4449312

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The globalization theorem for the curvature-dimension condition

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New formulas for the Laplacian of distance functions and applications

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Quantitative volume space form rigidity under lower Ricci curvature bound. I

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Local curvature-dimension condition implies measure-contraction property

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Non-collapsed spaces with Ricci curvature bounded from below

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Q3800695

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The fundamental groups of almost nonnegatively curved manifolds

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Isometry groups of singular spaces

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

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

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

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Maximal bottom of spectrum or volume entropy rigidity in Alexandrov geometry

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Ricci curvature for metric-measure spaces via optimal transport

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An integral formula for the volume entropy with applications to rigidity

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Topological entropy for geodesic flows

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On the universal cover and the fundamental group of an \(\mathsf{RCD}^\ast(K,N)\)-space

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Structure theory of metric measure spaces with lower Ricci curvature bounds

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On the measure contraction property of metric measure spaces

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Alexandrov meets Lott--Villani--Sturm

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From volume cone to metric cone in the nonsmooth setting

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Rigidité topologique sous l'hypothèse \flqq entropie majorée\frqq\ et applications

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Q3274652

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

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Q4321743

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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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Optimal Transport

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Margulis lemma and Hurewicz fibration theorem on Alexandrov spaces

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Ricci curvature on Alexandrov spaces and rigidity theorems

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Identifiers

zbMATH Open document ID

1495.53062

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5081538