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Manifolds which are Ivanov-Petrova or k-Stanilov

P. Gilkey·S. Nikcevic·V. Videv
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Abstract

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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P. Gilkey, S. Nikcevic, V. Videv. 2003-10-08. Manifolds which are Ivanov-Petrova or k-Stanilov. https://arxiv.org/abs/math/0310118

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