Geodesics on Margulis spacetimes

Details Geodesics on Margulis spacetimes Geodesics on Margulis spacetimes

2011-02-02

arxiv.org/abs/1102.0431v2

Mathematics

Dynamical Systems

12 pages, no figures, to appear in the issue of "Ergodic Theory and Dynamical Systems" dedicated to the memory of Daniel Rudol

Scientific paper

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.

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