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

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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… Click to show full 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 pre-assigned free homotopy class in the interior of the stable time cone.

Keywords: tori poles; class; lorentzian tori; closed geodesics; poles closed; class lorentzian

Journal Title: manuscripta mathematica
Year Published: 2018

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