K\"ahler-Weyl manifolds of dimension 4
Differential Geometry
2011-09-22 v1
Abstract
We determine the space of algebraic pseudo-Hermitian K\"ahler-Weyl curvature tensors and the space of para-Hermitian K\"ahler-Weyl curvature tensors in dimension 4 and show that every algebraic possibility is geometrically realizable. We establish the Gray identity for pseudo-Hermitian Weyl manifolds and for para-Hermitian Weyl manifolds in arbitrary dimension.
Keywords
Cite
@article{arxiv.1109.4532,
title = {K\"ahler-Weyl manifolds of dimension 4},
author = {P. Gilkey and S. Nikcevic},
journal= {arXiv preprint arXiv:1109.4532},
year = {2011}
}