349 citations · 2.2k across the 57 of their papers we have counts for
Showing 2007 · gr-qcShow all
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gr-qc2007★ 3 cited
The curvature homogeneity bound for Lorentzian four-manifolds
Robert Milson, Nicos Pelavas
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 f…
gr-qc2007★ 12 cited
The type N Karlhede bound is sharp
Robert Milson, Nicos Pelavas
We present a family of four-dimensional Lorentzian manifolds whose invariant classification requires the seventh covariant derivative of the curvature tensor. The spacetimes in que…
gr-qc2007★ 1 cited
On curvature homogeneous 4D Lorentzian manifolds
R. Milson, N. Pelavas
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 classif…