Curvature Homogeneous Spacelike Jordan Osserman Pseudo-riemannian Manifolds

@inproceedings{Gilkey2003CurvatureHS,
  title={Curvature Homogeneous Spacelike Jordan Osserman Pseudo-riemannian Manifolds},
  author={Peter Gilkey and S Nik{\vc}evi´c},
  year={2003}
}
Let s ≥ 2. We construct Ricci flat pseudo-Riemannian manifolds of signature (2s, s) which are not locally homogeneous but whose curvature tensors never the less exhibit a number of important symmetry properties. They are curvature homogeneous; their curvature tensor is modeled on that of a local symmetric space. They are spacelike Jordan Osserman with a Jacobi operator which is nilpotent of order 3; they are not timelike Jordan Osserman. They are k-spacelike higher order Jordan Osserman for 2… CONTINUE READING

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