Recurrent Geodesics in Flat Lorentz 3-Manifolds

• Autores: Virginie Charette, William M. Goldman, Catherine A. Jones
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 47, Nº 3, 2004, págs. 332-342
• Idioma: inglés
• DOI: 10.4153/cmb-2004-032-5
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• Resumen

  • 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 gamma1, gamma2, a unique geodesic forward spirals towards gamma1 and backward spirals towards gamma2.