Domains of discontinuity of Lorentzian affine group actions

TL;DR

This paper proves that certain groups acting via Lorentzian affine transformations have nonempty domains where their actions are properly discontinuous, advancing understanding of their geometric and dynamical properties.

Contribution

It establishes the nonemptiness of domains of proper discontinuity for Anosov groups acting in Lorentzian affine spaces, a novel result in geometric group theory.

Findings

Nonempty domains of proper discontinuity are proven for Anosov Lorentzian affine groups.

Advances understanding of the dynamics of Lorentzian affine group actions.

Provides new insights into the geometric structures associated with these groups.

Abstract

We prove nonemptyness of domains of proper discontinuity of Anosov groups of affine Lorentzian transformations.