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arXiv · 1805.11345

On class A Lorentzian 2-tori with poles I: Closed geodesics pass through poles

Lu Peng·Liang Jin·Xiaojun Cui
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Abstract

In this paper, by studying certain isometries on globally hyperbolic planes, we prove that if $p$ is a timelike pole on a class A Lorentzian 2-torus, then there exists a closed timelike geodesic passing through $p$ with any preassigned free homotopy class in the interior of the stable time cone. We also show a non-rigid result when timelike poles appear.

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Lu Peng, Liang Jin, Xiaojun Cui. 2018-05-29. On class A Lorentzian 2-tori with poles I: Closed geodesics pass through poles. https://arxiv.org/abs/1805.11345

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