Radius estimates for Alexandrov space with boundary

DOI10.1007/S12220-019-00292-2zbMath1465.53056arXiv1812.02571OpenAlexW2979204818WikidataQ127171739 ScholiaQ127171739MaRDI QIDQ2659013

Yanyan Li

Publication date: 25 March 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02571

zbMATH Keywords

Riemannian manifoldrigidityAlexandrov spaceradius

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (3)

Volume estimates for Alexandrov spaces with convex boundaries ⋮ Inner Radius Estimates and Rigidity for a Finsler Measure Space with Boundary ⋮ Alexandrov spaces with maximal radius

Cites Work

• A sharp comparison theorem for compact manifolds with mean convex boundary
• Scalar curvature and singular metrics
• Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.
• Extrinsic curvature of semiconvex subspaces in Alexandrov geometry
• Comparison theorems for manifolds with mean convex boundary
• Semiconcave functions in Alexandrov's geometry
• A.D. Alexandrov spaces with curvature bounded below

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