Lorentzian foliations on 3-manifolds

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We study transversely Lorentzian foliations on the closed 3-manifolds. We classify them under a completeness hypothesis and we deduce the dual classification of codimension 1 geodesically complete timelike totally geodesic foliations. Besides we provide an example of a Lorentzian foliation on a compact 3-manifold which is equicontinuous on a proper dense open subset of the manifold, and hence not transversely complete.
27 pages, 3 figures

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Differential Geometry, Dynamical Systems, 53C12 (primary) ; 53C50 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/107617

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601470
 http://arxiv.org/abs/math/0601470

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arXiv