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A note on geodesic foliations on the torus
Authors:Pierre Mounoud
Affiliation:(1) Max Planck Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany
Abstract:We look at geodesic foliations on the Lorentzian 2-tori which are lightlike on a proper subset. We prove that they do not exist if the torus is geodesically complete. We describe some properties of their orthogonal foliations and we give several new examples.
Keywords:Geodesic foliation  Geodesic completeness
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