On \fracπ2-separated subsets of Alexandrov spaces with curvature ≥1

2014/03/13 by Xiaole Su, Su, Xiaole, Hongwei Sun +3
Mathematics · Computer Science · #Point processes and geometric inequalities #Digital Image Processing Techniques #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1403.3169

Abstract

Let M be an n-dimensional Alexandrov space with curvature ≥ 1, and let \q₁,⋯,q_k\ be any \fracπ2-separated subset in M (i.e. the distance |q_iq_j|≥\fracπ2 for any i≠ j). Under the additional conditions "|q_iq_j|

Related

• Finite Quotient of Join in Alexandrov Geometry
• Shape of Alexandrov spaces with positive Ricci curvature
• Alexandrov geometry: foundations
• A rigidity theorem in Alexandrov spaces with lower curvature bound
• New definitions of Alexandrov space and applications