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arXiv · 1307.5016

A generalization of the Epstein-Penner construction to projective manifolds

Daryl Cooper·Darren Long
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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.

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Daryl Cooper, Darren Long. 2013-07-18. A generalization of the Epstein-Penner construction to projective manifolds. https://arxiv.org/abs/1307.5016

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