The Jordan normal form of higher order Osserman algebraic curvature tensors
Peter Gilkey, Raina Ivanova (2002)
Commentationes Mathematicae Universitatis Carolinae
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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 in a vector space of signature . We then use these examples to establish some results concerning higher order Osserman and higher order Jordan Osserman algebraic curvature tensors.