On curvature homogeneous 4D Lorentzian manifolds
R. Milson, N. Pelavas
Abstract
We prove that a four-dimensional Lorentzian manifold that is curvature homogeneous of order 3, or 3 for short, is necessarily locally homogeneous. We also exhibit and classify four-dimensional Lorentzian, 2 manifolds that are not homogeneous.
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