On class A Lorentzian 2-tori with poles I: Closed geodesics pass through poles
Dynamical Systems
2018-05-30 v1 Differential Geometry
Abstract
In this paper, by studying certain isometries on globally hyperbolic planes, we prove that if is a timelike pole on a class A Lorentzian 2-torus, then there exists a closed timelike geodesic passing through 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.
Cite
@article{arxiv.1805.11345,
title = {On class A Lorentzian 2-tori with poles I: Closed geodesics pass through poles},
author = {Lu Peng and Liang Jin and Xiaojun Cui},
journal= {arXiv preprint arXiv:1805.11345},
year = {2018}
}