On Mostow rigidity for variable negative curvature

2000/03/15 by Igor Belegradek, Belegradek, Igor
Biochemistry, Genetics and Molecular Biology · Mathematics · #53C20 20F65 #Cellular Mechanics and Interactions #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Group Theory (math.GR) #math.DG #math.GR #msc:20F65 #msc:53C20

paper · pdf · doi:10.48550/arxiv.math/0003091

27 pages

arxiv created 2000/03/15 · openalex publication_date 2000/03/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a finiteness theorem for the class of complete finite volume Riemannian manifolds with pinched negative sectional curvature, fixed fundamental group, and of dimension >2. One of the key ingredients is that the fundamental group of such a manifold does not admit a small nontrivial action on an R-tree.

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