Manifolds which are Ivanov-Petrova or k-Stanilov

We present some examples of curvature homogeneous pseudo-Riemannian manifolds which are k-spacelike Jordan Stanilov; their higher order curvature operator has constant Jordan normal form on the Grassmannian of unoriented k-dimensional spacelike subspaces of the tangent plane.

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Hauptverfasser: Gilkey, P, Nikcevic, S, Videv, V
Format: Artikel
Sprache:eng
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Zusammenfassung:We present some examples of curvature homogeneous pseudo-Riemannian manifolds which are k-spacelike Jordan Stanilov; their higher order curvature operator has constant Jordan normal form on the Grassmannian of unoriented k-dimensional spacelike subspaces of the tangent plane.
DOI:10.48550/arxiv.math/0310118