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arXiv · 1102.0431

Geodesics on Margulis spacetimes

William M. Goldman·Francois Labourie
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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.

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William M. Goldman, Francois Labourie. 2011-02-02. Geodesics on Margulis spacetimes. https://arxiv.org/abs/1102.0431

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