Rigidity theorems for glued spaces being suspensions, cones and joins in Alexandrov geometry with curvature bounded below

2013/09/04 by Xiaole Su, Su, Xiaole, Hongwei Sun +3
Mathematics · #53C20 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Metric Geometry (math.MG) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1309.0912

openalex publication_date 2013/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper, we give rigidity theorems when the glued space of two Alexandrov spapces with curvature bounded below is a suspension, cone or join. And we list some basic properties of joins in Appendix.

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