Minimal entropy for uniform lattices in PSL$_2(\mathbb{R})^n$
Differential Geometry
2014-11-04 v2
Abstract
We prove that, among metrics on a compact quotient of (product of hyperbolic planes) of prescribed total volume, the product of hyperbolic metrics has minimal volume entropy.
Keywords
Cite
@article{arxiv.1406.4428,
title = {Minimal entropy for uniform lattices in PSL$_2(\mathbb{R})^n$},
author = {Louis Merlin},
journal= {arXiv preprint arXiv:1406.4428},
year = {2014}
}
Comments
22 pages. The case with more factors $\mathbb{H}^2$ is now investigated