A 3-Manifold with no Real Projective Structure
Geometric Topology
2015-01-06 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1207.2007,
title = {A 3-Manifold with no Real Projective Structure},
author = {Daryl Cooper and William Goldman},
journal= {arXiv preprint arXiv:1207.2007},
year = {2015}
}
Comments
Minor corrections suggested by referee