On the Hilbert geometry of simplicial Tits sets
Differential Geometry
2023-07-04 v4 Metric Geometry
Abstract
The moduli space of convex projective structures on a simplicial hyperbolic Coxeter orbifold is either a point or the real line. Answering a question of M. Crampon, we prove that in the latter case, when one goes to infinity in the moduli space, the entropy of the Hilbert metric tends to 0.
Keywords
Cite
@article{arxiv.1111.1288,
title = {On the Hilbert geometry of simplicial Tits sets},
author = {Xin Nie},
journal= {arXiv preprint arXiv:1111.1288},
year = {2023}
}
Comments
18 pages, 5 figures