On geodesic homotopies of controlled width and conjugacies in isometry groups

2007/09/21 by Gerasim Kokarev, Kokarev, Gerasim
Mathematics · #20F65. #53C23 #58E20 #Algebraic Geometry and Number Theory #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Metric Geometry (math.MG) #math.AP #math.GT #math.MG #msc:20F65. #msc:53C23 #msc:58E20

paper · pdf · doi:10.48550/arxiv.0709.3469

minor stylistic corrections; 15 pages

openalex publication_date 2007/09/21 · arxiv created 2007/10/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an analytical proof of the Poincare-type inequalities for widths of geodesic homotopies between equivariant maps valued in Hadamard metric spaces. As an application we obtain a linear bound for the length of an element conjugating two finite lists in a group acting on an Hadamard space.

Citations

• Harmonic Mappings of Riemannian Manifolds

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