A note on geodesic foliations on the torus |
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Authors: | Pierre Mounoud |
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Affiliation: | (1) Max Planck Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany |
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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. |
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Keywords: | Geodesic foliation Geodesic completeness |
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