Lorentzian foliations on 3-manifolds

Details Lorentzian foliations on 3-manifolds Lorentzian foliations on 3-manifolds

2006-01-19

arxiv.org/abs/math/0601470v1

Mathematics

Differential Geometry

27 pages, 3 figures

Scientific paper

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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