A finite quotient of join in Alexandrov geometry

DOI10.1090/tran/8194zbMath1459.53048arXiv1609.07747OpenAlexW3035537655MaRDI QIDQ5143154

Xiaochun Rong, Yu-Sheng Wang

Publication date: 11 January 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07747

zbMATH Keywords

isometric embeddingapart convex subsetscone-neighborhood isometryconvex spherical surfacequotient join structure

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)

The soul conjecture in Alexandrov geometry in dimension 4 ⋮ Rigidity for positively curved Alexandrov spaces with boundary ⋮ Alexandrov spaces with maximal radius

Cites Work

• An isometrical \(\mathbb{C}\mathrm P^n\)-theorem
• Manifolds of nonpositive curvature
• Manifolds with positive curvature
• Eigenvalue comparison theorems and its geometric applications
• A generalized sphere theorem
• Proof of the soul conjecture of Cheeger and Gromoll
• Parallel transportation for Alexandrov space with curvature bounded below
• Collapsing three-manifolds under a lower curvature bound.
• A generalization of Berger's rigidity theorem for positively curved manifolds
• A.D. Alexandrov spaces with curvature bounded below
• New Extremal Problems for the Riemannian Recognition Program via Alexandrov Geometry
• Nonnegatively curved Alexandrov spaces with souls of codimension two
• Index parity of closed geodesics and rigidity of Hopf fibrations

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