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arXiv 1102.0431math.DSmath.DG
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Margulis时空上的测地线

Geodesics on Margulis spacetimes

William M. Goldman, Francois Labourie

备注：
12 pages, no figures, to appear in the issue of "Ergodic Theory and Dynamical Systems" dedicated to the memory of Daniel Rudolph
发表信息：
Ergodic Theory and Dynamical Systems, Volume 32, Issue 2, April 2012, pp.643-651
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摘要：

设M是一个Margulis时空，其相应的完备双曲曲面S具有紧凸核.推广了M上的闭测地线与S上的闭测地线之间的对应关系，建立了M上递归类空测地线与S上递归测地线之间的轨道等价关系.相比之下，没有类时测地线在向前或向后的时间中重现。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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