Volume collapsed three-manifolds with a lower curvature bound

2003/04/29 by Takashi Shioya, Shioya, Takashi, Takao Yamaguchi +1
Mathematics · #53C20 #53C23 (Primary) #57M99 (Secondary) #57N10 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #math.DG #math.GT #msc:53C20 #msc:53C23 #msc:57M99 #msc:57N10

paper · pdf · doi:10.48550/arxiv.math/0304472

24 pages, 4 EPS figures

arxiv created 2004/04/15 · arxiv updated 2009/11/30

Abstract

In this paper we determine the topology of three-dimensional complete orientable Riemannian manifolds with a uniform lower bound of sectional curvature whose volume is sufficiently small.

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