The Pressure Metric on the Margulis Multiverse

Abstract

This paper defines the pressure metric on the Moduli space of Margulis spacetimes without cusps and shows that it is positive definite on the constant entropy sections. It also demonstrates an identity regarding the variation of the cross-ratios.

Grammatical mistakes have been corrected. More references have been added. Definition of Anosov representation has been changed and the proof of Theorem 3.0.5 has been updated accordingly. 31 pages, 1 figure

References in corpus (4)

• Anosov representations: Domains of discontinuity and applications
• Anosov Structure on Margulis Space Time
• Fundamental domains for properly discontinuous affine groups
• The pressure metric for Anosov representations

Cited by in corpus (2)

• Affine Anosov representations and proper actions
• Margulis Multiverse: Infinitesimal Rigidity, Pressure Form and Convexity