Centers of convex subsets of buildings

2004/10/20 by Andreas Balser, Alexander Lytchak, Balser, Andreas +1 · 1 citation
Computer Science · Mathematics · #53C20 #Advanced Graph Theory Research #FOS: Mathematics #Geometric and Algebraic Topology #Metric Geometry (math.MG) #Point processes and geometric inequalities #math.MG #msc:53C20

paper · pdf · doi:10.48550/arxiv.math/0410440

9 pages

arxiv created 2004/10/20 · openalex publication_date 2004/10/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that two dimensional convex subsets of spherical buildings are either buildings or have a center.

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• A fixed point theorem for the action of SL_n over local fields on symmetric spaces of infinite dimension and finite rank

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