Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators
Differential Geometry
2010-07-16 v1
Abstract
We exhibit Osserman metrics with non-nilpotent Jacobi operators and with non-trivial Jordan normal form in neutral signature (n,n) for any n which is at least 3. These examples admit a natural almost para-Hermitian structure and are semi para-complex Osserman with non-trivial Jordan normal form as well; they neither satisfy the third Gray identity nor are they integrable.
Keywords
Cite
@article{arxiv.1007.2569,
title = {Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators},
author = {E. Calvino-Louzao and E. Garcia-Rio and P. Gilkey and R. Vazquez-Lorenzo},
journal= {arXiv preprint arXiv:1007.2569},
year = {2010}
}