On curvature homogeneous 4D Lorentzian manifolds
General Relativity and Quantum Cosmology
2007-11-27 v4 Differential Geometry
Abstract
We prove that a four-dimensional Lorentzian manifold that is curvature homogeneous of order 3, or for short, is necessarily locally homogeneous. We also exhibit and classify four-dimensional Lorentzian, manifolds that are not homogeneous.
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Cite
@article{arxiv.gr-qc/0702152,
title = {On curvature homogeneous 4D Lorentzian manifolds},
author = {R. Milson and N. Pelavas},
journal= {arXiv preprint arXiv:gr-qc/0702152},
year = {2007}
}
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8 pages