English

The Geometry of the Skew-Symmetric Curvature Operator in the Complex Setting

Differential Geometry 2007-05-23 v1

Abstract

We construct almost complex algebraic curvature tensors for pseudo Hermitian inner products whose skew-symmetric curvature operator has constant Jordan normal form on the set of non-degenerate complex lines.

Keywords

Cite

@article{arxiv.math/0205081,
  title  = {The Geometry of the Skew-Symmetric Curvature Operator in the Complex Setting},
  author = {Peter Gilkey and Raina Ivanova},
  journal= {arXiv preprint arXiv:math/0205081},
  year   = {2007}
}