Mean curvature in the light of scalar curvature

DOI10.5802/AIF.3347zbMath1467.53041arXiv1812.09731OpenAlexW3037398324MaRDI QIDQ2213343

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Publication date: 30 November 2020

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09731

zbMATH Keywords

scalar curvaturefilling radiusmean curvaturedistance decreasing mapsinscribed ballsthin mean convex

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (7)

Rigidity of 3D spherical caps via \(\mu \)-bubbles ⋮ Uryson width of three dimensional mean convex domain with non-negative Ricci curvature ⋮ A note about isotopy and concordance of positive scalar curvature metrics on compact manifolds with boundary ⋮ Analysis, geometry and topology of positive scalar curvature metrics. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting) ⋮ Mean curvature in the light of scalar curvature ⋮ Mean curvature rigidity of horospheres, hyperspheres, and hyperplanes ⋮ Width estimate and doubly warped product

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• A Dozen Problems, Questions and Conjectures About Positive Scalar Curvature
• Approximation by smooth embedded hypersurfaces with positive mean curvature

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