Geodesic
The Jordan normal form of higher order Osserman algebraic curvature tensors
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 2, pp. 231-242.

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We construct new examples of algebraic curvature tensors so that the Jordan normal form of the higher order Jacobi operator is constant on the Grassmannian of subspaces of type $(r,s)$ in a vector space of signature $(p,q)$. We then use these examples to establish some results concerning higher order Osserman and higher order Jordan Osserman algebraic curvature tensors.
Classification : 53B20
Keywords: higher order Jacobi operator; Osserman algebraic curvature tensors; Jordan Osserman algebraic curvature tensors 
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     title = {The {Jordan} normal form of higher order {Osserman} algebraic curvature tensors},
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Gilkey, Peter; Ivanova, Raina. The Jordan normal form of higher order Osserman algebraic curvature tensors. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 2, pp. 231-242. http://geodesic.mathdoc.fr/item/CMUC_2002__43_2_a3/