An algorithm for the Euclidean cell decomposition of a cusped strictly convex projective surface

2015/12/05 by Stephan Tillmann, Tillmann, Stephan, Sampson Wong +1
Mathematics · #57M25 #57N10 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Point processes and geometric inequalities #math.GT #msc:57M25 #msc:57N10

paper · pdf · doi:10.48550/arxiv.1512.01645

15 pages, 10 figures

arxiv created 2015/12/05 · openalex publication_date 2015/12/05 · arxiv updated 2015/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Cooper and Long generalised Epstein and Penner's Euclidean cell decomposition of cusped hyperbolic manifolds of finite volume to non-compact strictly convex projective manifolds of finite volume. We show that Weeks' algorithm to compute this decomposition for a hyperbolic surface generalises to strictly convex projective surfaces.

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