Pressure type metrics on spaces of metric graphs
Dynamical Systems
2016-10-04 v1 Differential Geometry
Abstract
In this note, we consider two Riemannian metrics on a moduli space of metric graphs. Each of them could be thought of as an analogue of the Weil-Petersson metric on the moduli space of metric graphs. We discuss and compare geometric features of these two metrics with the "classic" Weil-Petersson metric in Teichm\"uller theory. This paper is motivated by Pollicott and Sharp's earlier work.
Keywords
Cite
@article{arxiv.1604.03173,
title = {Pressure type metrics on spaces of metric graphs},
author = {Lien-Yung Kao},
journal= {arXiv preprint arXiv:1604.03173},
year = {2016}
}
Comments
25 pages and 12 figures