Complex Osserman Algebraic Curvature Tensors and Clifford Families
Differential Geometry
2007-05-23 v1
Abstract
We classify the algebraic curvature tensors which are both Osserman and complex Osserman in all but a finite number of exceptional dimensions.Information concerning the possible eigenvalue structures, which is provided by methods of algebraic topology, plays a central role in the analysis.
Keywords
Cite
@article{arxiv.math/0608749,
title = {Complex Osserman Algebraic Curvature Tensors and Clifford Families},
author = {M. Brozos-Vazquez and P. Gilkey},
journal= {arXiv preprint arXiv:math/0608749},
year = {2007}
}