Topology of open nonpositively curved manifolds

2013/06/05 by Igor Belegradek, Belegradek, Igor
Mathematics · #53C20 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.1306.1256

openalex publication_date 2013/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a survey of topological properties of open, complete nonpositively curved manifolds which may have infinite volume. Topics include topology of ends, restrictions on the fundamental group, as well as a review of known examples.

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