A generalization of the Epstein-Penner construction to projective manifolds
Geometric Topology
2013-07-19 v1
Abstract
We extend the canonical cell decomposition due to Epstein and Penner of a hyperbolic manifold with cusps to the strictly convex setting. It follows that a sufficiently small deformation of the holonomy of a finite volume strictly convex real projective manifold is the holonomy of some nearby projective structure with radial ends, provided the holonomy of each cusp has a fixed point.
Keywords
Cite
@article{arxiv.1307.5016,
title = {A generalization of the Epstein-Penner construction to projective manifolds},
author = {Daryl Cooper and Darren Long},
journal= {arXiv preprint arXiv:1307.5016},
year = {2013}
}
Comments
8 pages, 1 figure