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arxiv: math/0310118 · v1 · submitted 2003-10-08 · 🧮 math.DG

Manifolds which are Ivanov-Petrova or k-Stanilov

classification 🧮 math.DG
keywords curvaturejordanmanifoldsconstantexamplesformgrassmannianhigher
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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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