The Jordan normal form of higher order Osserman algebraic curvature tensors
Differential Geometry
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0205073,
title = {The Jordan normal form of higher order Osserman algebraic curvature tensors},
author = {Peter Gilkey and Raina Ivanova},
journal= {arXiv preprint arXiv:math/0205073},
year = {2007}
}