Complete k-curvature homogeneous pseudo-Riemannian manifolds

P. Gilkey; S. Nikcevic

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Complete k-curvature homogeneous pseudo-Riemannian manifolds

P. Gilkey·S. Nikcevic

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Abstract

For any k which is at least 2, we exhibit complete k-curvature homogeneous neutral signature pseudo-Riemannian manifolds which are not k+1-affine curvature homogeneous, and hence not locally homogeneous. All the local scalar Weyl invariants of these manifolds vanish. These manifolds are Ricci flat, Osserman, and Ivanov-Petrova.

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BibTeX RIS

P. Gilkey, S. Nikcevic. 2004-05-02. Complete k-curvature homogeneous pseudo-Riemannian manifolds. https://arxiv.org/abs/math/0405024

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