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Lorentzian foliations on 3-manifolds

C. Boubel·P. Mounoud·C. Tarquini
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Abstract

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.

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C. Boubel, P. Mounoud, C. Tarquini. 2006-01-19. Lorentzian foliations on 3-manifolds. https://arxiv.org/abs/math/0601470

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