Geodesics on Margulis spacetimes
Dynamical Systems
2012-11-20 v2 Differential Geometry
Abstract
Let M be a Margulis spacetime whose associated complete hyperbolic surface S has compact convex core. Generalizing the correspondence between closed geodesics on M and closed geodesics on S, we establish an orbit equivalence between recurrent spacelike geodesics on M and recurrent geodesics on S. In contrast, no timelike geodesic recurs in either forward or backwards time.
Keywords
Cite
@article{arxiv.1102.0431,
title = {Geodesics on Margulis spacetimes},
author = {William M. Goldman and Francois Labourie},
journal= {arXiv preprint arXiv:1102.0431},
year = {2012}
}
Comments
12 pages, no figures, to appear in the issue of "Ergodic Theory and Dynamical Systems" dedicated to the memory of Daniel Rudolph