Szabo Osserman IP Pseudo-Riemannian manifolds
Differential Geometry
2007-05-23 v1
Abstract
We construct a family of pseudo-Riemannian manifolds so that the skew-symmetric curvature operator, the Jacobi operator, and the Szabo operator have constant eigenvalues on their domains of definition. This provides new and non-trivial examples of Osserman, Szabo, and IP manifolds. We also study when the associated Jordan normal form of these operators is constant.
Keywords
Cite
@article{arxiv.math/0205085,
title = {Szabo Osserman IP Pseudo-Riemannian manifolds},
author = {Peter Gilkey and Raina Ivanova and Tan Zhang},
journal= {arXiv preprint arXiv:math/0205085},
year = {2007}
}