Affine transformations and parallel lightlike vector fields on compact Lorentzian $3$-manifolds
Differential Geometry
2015-06-26 v3
Abstract
We describe the compact Lorentzian -manifolds admitting a parallel lightlike vector field. The classification of compact Lorentzian -manifolds admitting non-isometric affine diffeomorphisms follows, together with the complete description of these morphisms. Such a Lorentzian manifold is in some sense an equivariant deformation of a flat one.
Cite
@article{arxiv.1404.1357,
title = {Affine transformations and parallel lightlike vector fields on compact Lorentzian $3$-manifolds},
author = {Charles Boubel and Pierre Mounoud},
journal= {arXiv preprint arXiv:1404.1357},
year = {2015}
}
Comments
37p