Nonnegative curvature, symmetry and fundamental group

2003/02/19 by Igor Belegradek, Belegradek, Igor
Mathematics · #53C21 #57S15 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.DG #msc:53C21 #msc:57S15

paper · pdf · doi:10.48550/arxiv.math/0302221

14 pages

arxiv created 2003/02/19 · openalex publication_date 2003/02/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a result on equivariant deformations of flat bundles, and as a corollary, we obtain two ``splitting in a finite cover'' theorems for isometric group actions on Riemannian manifolds with infinite fundamental groups, where the manifolds are either compact of nonnegative Ricci curvature, or complete of nonnegative sectional curvature.

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