Thurston's asymmetric metrics for Anosov representations
Differential Geometry
2024-05-08 v2 Dynamical Systems
Geometric Topology
Abstract
We provide a good dynamical framework allowing to generalize Thurston's asymmetric metric and the associated Finsler norm from Teichm\"uller space to large classes of Anosov representations. In many cases, including the space of Hitchin representations, this gives a (possibly asymmetric) Finsler distance. In some cases we explicitly compute the associated Finsler norm.
Keywords
Cite
@article{arxiv.2210.05292,
title = {Thurston's asymmetric metrics for Anosov representations},
author = {León Carvajales and Xian Dai and Beatrice Pozzetti and Anna Wienhard},
journal= {arXiv preprint arXiv:2210.05292},
year = {2024}
}
Comments
Final version. Accepted by Groups, Geometry, and Dynamics