The Pressure Metric on the Margulis Multiverse
Differential Geometry
2021-05-14 v4
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.
Keywords
Cite
@article{arxiv.1505.00534,
title = {The Pressure Metric on the Margulis Multiverse},
author = {Sourav Ghosh},
journal= {arXiv preprint arXiv:1505.00534},
year = {2021}
}
Comments
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