Author： Gilkey P.
Publisher： Springer Publishing Company
ISSN： 0232-704X
Source： Annals of Global Analysis and Geometry, Vol.27, Iss.1, 2005-03, pp. : 87-100
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Abstract
Abstract. For k</i> ≥ 2, we exhibit complete k</i>-curvature homogeneous neutral signature pseudo-Riemannian manifolds which are not locally affine homogeneous (and hence not locally homogeneous). All the local scalarWeyl invariants of these manifolds vanish. These manifolds are Ricci flat, Osserman, and Ivanov-Petrova.
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