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Recurrent Geodesics in Flat Lorentz 3-Manifolds
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $M$ be a complete flat Lorentz 3-manifold $M$ with purely hyperbolic holonomy $\Gamma $. Recurrent geodesic rays are completely classified when $\Gamma $ is cyclic. This implies that for any pair of periodic geodesics ${{\gamma }_{1}}$, ${{\gamma }_{2}}$, a unique geodesic forward spirals towards ${{\gamma }_{1}}$ and backward spirals towards ${{\gamma }_{2}}$.
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- Copyright © Canadian Mathematical Society 2004
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