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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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. |
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DOI: | 10.48550/arxiv.math/0310118 |