Asymptotic geometry and growth of conjugacy classes of nonpositively curved manifolds

2005/08/18 by Gabriele Link, Link, Gabriele
Mathematics · #20E45 #37F35 #53C22 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:20E45 #msc:37F35 #msc:53C22

paper · pdf · doi:10.48550/arxiv.math/0508346

revised version: added reference, corrected typos, 17 pages, to appear in Annals of Global Analysis and Geometry

openalex publication_date 2005/08/18 · arxiv created 2006/03/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a Hadamard manifold and Γ a discrete group of isometries of X which contains an axial isometry without invariant flat half plane. We study the behavior of conformal densities on the geometric limit set of Γ in order to derive a new asymptotic estimate for the growth rate of closed geodesics in not necessarily compact or finite volume manifolds.

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