Lorentzian foliations on 3-manifolds
Differential Geometry
2007-05-23 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.math/0601470,
title = {Lorentzian foliations on 3-manifolds},
author = {C. Boubel and P. Mounoud and C. Tarquini},
journal= {arXiv preprint arXiv:math/0601470},
year = {2007}
}
Comments
27 pages, 3 figures