Thurston's asymmetric metric on Margulis spacetimes
Geometric Topology
2025-12-10 v1 Dynamical Systems
Group Theory
Abstract
In this article, we extend Thurston's asymmetric metric and the associated Finsler norm, originally defined for Teichm\"uller space, to the setting of Margulis spacetimes. We also establish several convexity properties of both the asymmetric metric and the corresponding Finsler norm.
Cite
@article{arxiv.2512.08019,
title = {Thurston's asymmetric metric on Margulis spacetimes},
author = {Krishnendu Gongopadhyay and Neelanjan Mondal},
journal= {arXiv preprint arXiv:2512.08019},
year = {2025}
}