Complete curvature homogeneous pseudo-Riemannian manifolds

P. Gilkey; S. Nikcevic

doi:10.1088/0264-9381/21/15/009

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Complete curvature homogeneous pseudo-Riemannian manifolds

P. Gilkey·S. Nikcevic

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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.

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BibTeX RIS

P. Gilkey, S. Nikcevic. 2004-04-05. Complete curvature homogeneous pseudo-Riemannian manifolds. https://doi.org/10.1088/0264-9381%2F21%2F15%2F009

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