Complete curvature homogeneous pseudo-Riemannian manifolds
arXiv:math/0402282 · doi:10.1088/0264-9381/21/15/009
Abstract
We exhibit 3 families of complete curvature homogeneous pseudo-Riemannian manifolds which are modeled on irreducible symmetric spaces and which are not locally homogeneous. All of the manifolds have nilpotent Jacobi operators; some of the manifolds are, in addition, Jordan Osserman and Jordan Ivanov-Petrova.
Update paper to fix misprints in original version