An integral formula for the volume entropy with applications to rigidity
Differential Geometry
2009-12-16 v3 Dynamical Systems
Abstract
We extend the theory of Patterson-Sullivan measure to any regular covering of a compact manifold using the Busemann compactification and derive an integral formula for the volume entropy. As applications we prove some rigidity theorems for the volume entropy.
Cite
@article{arxiv.0911.0370,
title = {An integral formula for the volume entropy with applications to rigidity},
author = {Francois Ledrappier and Xiaodong Wang},
journal= {arXiv preprint arXiv:0911.0370},
year = {2009}
}
Comments
added discussion on quaternionic Kahler case; reorganized