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Constant curvature hyperspheres and the Euler Characteristic

2011/03/16 by Graham Smith, Smith, Graham
Mathematics · Physics and Astronomy · #35J60 #53A10 #53C21 #53C42 #58E12 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #math.DG #msc:35J60 #msc:53A10 #msc:53C21 #msc:53C42 #msc:58E12

paper · pdf · doi:10.48550/arxiv.1103.3235

Complements arxiv:1010.1879 which will presently be revised

arxiv created 2011/03/16 · openalex publication_date 2011/03/16 · arxiv updated 2011/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show how in many cases the algebraic number of immersed hyperspheres of constant (and prescribed) curvature may be related to the Euler Characteristic of the ambient space.

Citations

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