The Jordan normal form of higher order Osserman algebraic curvature tensors

Details The Jordan normal form of higher order Osserman algebraic curvature tensors The Jordan normal form of higher order Osserman algebraic curvature tensors

2002-05-07

arxiv.org/abs/math/0205073v1

Comment. Math. Univ. Carolinae 43 (2002) 231-242

Mathematics

Differential Geometry

Scientific paper

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.

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