Complete curvature homogeneous pseudo-Riemannian manifolds

Mathematics – Differential Geometry

Scientific paper

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Update paper to fix misprints in original version

Scientific paper

10.1088/0264-9381/21/15/009

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.

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