paper

Thurston's asymmetric metric on Margulis spacetimes

arXiv:2512.08019

Abstract

In this article, we extend Thurston's asymmetric metric and the associated Finsler norm, originally defined for Teichmüller space, to the setting of Margulis spacetimes. We also establish several convexity properties of both the asymmetric metric and the corresponding Finsler norm.