Entropy rigidity for finite volume strictly convex projective manifolds
Differential Geometry
2020-06-25 v1 Dynamical Systems
Geometric Topology
Abstract
We prove entropy rigidity for finite volume strictly convex projective manifolds in dimensions , generalizing the work of arXiv:1708.03983 to the finite volume setting. The rigidity theorem uses the techniques of Besson, Courtois, and Gallot's entropy rigidity theorem. It implies uniform lower bounds on the volume of any finite volume strictly convex projective manifold in dimensions .
Keywords
Cite
@article{arxiv.2006.13619,
title = {Entropy rigidity for finite volume strictly convex projective manifolds},
author = {Harrison Bray and David Constantine},
journal= {arXiv preprint arXiv:2006.13619},
year = {2020}
}
Comments
17 pages, 2 figures