Geodesics in Margulis Spacetimes
نویسندگان
چکیده
Let M be a Margulis spacetime whose associated complete hyperbolic surface Σ has compact convex core. Generalizing the correspondence between closed geodesics on M and closed geodesics on Σ, we establish an orbit equivalence between recurrent spacelike geodesics on M and recurrent geodesics on Σ. In contrast, no timelike geodesic recurs in neither forward nor backwards time.
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تاریخ انتشار 2011