Inscribed radius bounds for lower Ricci bounded metric measure spaces with mean convex boundary

DOI10.3842/SIGMA.2020.131zbMath1456.51007arXiv2005.07435MaRDI QIDQ2223048

Eric Woolgar, Christian Ketterer, Robert J. McCann, Annegret Y. Burtscher

Publication date: 28 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07435

zbMATH Keywords

rigiditymeasure contraction propertyoptimal transportcurvature-dimension conditioncomparison geometrysingularity theoremsdiameter boundsinscribed radiusinradius boundssynthetic mean curvature

Mathematics Subject Classification ID

Space-time singularities, cosmic censorship, etc. (83C75) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Synthetic differential geometry (51K10) Analysis on metric spaces (30L99)

Related Items (5)

First-order heat content asymptotics on \(\mathsf{RCD} (K, N)\) spaces ⋮ A review of Lorentzian synthetic theory of timelike Ricci curvature bounds ⋮ Comparison geometry of manifolds with boundary under lower \(N\)-weighted Ricci curvature bounds with \(\varepsilon \)-range ⋮ A synthetic null energy condition ⋮ Characterization of the null energy condition via displacement convexity of entropy

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