On curvature homogeneous 4D Lorentzian manifolds

Details On curvature homogeneous 4D Lorentzian manifolds On curvature homogeneous 4D Lorentzian manifolds

2007-02-28

arxiv.org/abs/gr-qc/0702152v4

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages

Scientific paper

We prove that a four-dimensional Lorentzian manifold that is curvature
homogeneous of order 3, or $\CH_3$ for short, is necessarily locally
homogeneous. We also exhibit and classify four-dimensional Lorentzian, $\CH_2$
manifolds that are not homogeneous.

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