Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature
Differential Geometry
2016-06-28 v2
Abstract
Locally homogeneous Lorentzian three-manifolds with recurrect curvature are special examples of Walker manifolds, that is, they admit a parallel null vector field. We obtain a full classification of the symmetries of these spaces, with particular regard to symmetries related to their curvature: Ricci and matter collineations, curvature and Weyl collineations. Several results are given for the broader class of three-dimensional Walker manifolds.
Keywords
Cite
@article{arxiv.1602.03693,
title = {Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature},
author = {Giovanni Calvaruso and Amirhesam Zaeim},
journal= {arXiv preprint arXiv:1602.03693},
year = {2016}
}