On curvature homogeneous 4D Lorentzian manifolds

نویسندگان

  • R. Milson
  • N. Pelavas
چکیده

We prove that a four-dimensional Lorentzian manifold that is curvature homogeneous of order 3, or CH3 for short, is necessarily locally homogeneous. We also exhibit and classify four-dimensional Lorentzian, CH2 manifolds that are not homogeneous. PACS numbers: 04.20, 02.40 AMS classification scheme numbers: 53C50

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تاریخ انتشار 2007