Geometric Realizations of Hermitian curvature models
Differential Geometry
2008-12-16 v1
Abstract
We show that a Hermitian algebraic curvature model satisfies the Gray identity if and only if it is geometrically realizable by a Hermitian manifold. Furthermore, such a curvature model can in fact be realized by a Hermitian manifold of constant scalar curvature and constant *-scalar curvature which satisfies the Kaehler condition at the point in question.
Keywords
Cite
@article{arxiv.0812.2743,
title = {Geometric Realizations of Hermitian curvature models},
author = {M. Brozos-Vazquez and P. Gilkey and H. Kang and S. Nikcevic},
journal= {arXiv preprint arXiv:0812.2743},
year = {2008}
}