Spacelike Jordan Osserman algebraic curvature tensors in the higher signature setting
Differential Geometry
2007-05-23 v1
Abstract
Let be an algebraic curvature tensor on a vector space of signature defining a spacelike Jordan Osserman Jacobi operator . We show that the eigenvalues of are real and that is diagonalizable if .
Keywords
Cite
@article{arxiv.math/0205072,
title = {Spacelike Jordan Osserman algebraic curvature tensors in the higher signature setting},
author = {Peter B. Gilkey and Raina Ivanova},
journal= {arXiv preprint arXiv:math/0205072},
year = {2007}
}