Lipschitz-volume rigidity in Alexandrov geometry

DOI10.1016/j.aim.2015.02.002zbMath1314.53077arXiv1110.5498OpenAlexW2963784574MaRDI QIDQ2018669

Yanyan Li

Publication date: 25 March 2015

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

Full work available at URL: https://arxiv.org/abs/1110.5498

zbMATH Keywords

isometrygluing theorem1-Lipschitz map

Mathematics Subject Classification ID

Rigidity results (53C24) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (8)

Sagitta, lenses, and maximal volume ⋮ Filling minimality and Lipschitz-volume rigidity of convex bodies among integral current spaces ⋮ Rigidity of mass-preserving 1-Lipschitz maps from integral current spaces into \(\mathbb{R}^n\) ⋮ Geodesically complete spaces with an upper curvature bound ⋮ Sphere theorems for RCD and stratified spaces ⋮ Lipschitz-volume rigidity on limit spaces with Ricci curvature bounded from below ⋮ Maximal metric surfaces and the Sobolev-to-Lipschitz property ⋮ Gluing of multiple Alexandrov spaces

Cites Work

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• Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications
• Differentiable rigidity under Ricci curvature lower bound
• Relatively maximum volume rigidity in Alexandrov geometry
• Volume comparison à la Aleksandrov
• The Riemannian structure of Alexandrov spaces
• Parallel transportation for Alexandrov space with curvature bounded below
• On the structure of spaces with Ricci curvature bounded below. I
• Minimal volume Alexandrov spaces.
• Lipschitz-volume rigidity on limit spaces with Ricci curvature bounded from below
• Semiconcave functions in Alexandrov's geometry
• A.D. Alexandrov spaces with curvature bounded below

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