A 3-Manifold with no Real Projective Structure

2012/07/09 by Daryl Cooper, Cooper, Daryl, William Goldman +1
Mathematics · #57M25 #57N10 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #math.DG #math.GT #msc:57M25 #msc:57N10

paper · pdf · doi:10.48550/arxiv.1207.2007

Minor corrections suggested by referee

arxiv created 2015/01/04 · arxiv updated 2015/01/06

Abstract

We show that the connected sum of two copies of real projective 3-space does not admit a real projective structure. This is the first known example of a connected 3-manifold without a real projective structure.

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