Geometric Realizations of para-Hermitian curvature models
Differential Geometry
2009-02-11 v1
Abstract
We show that a para-Hermitian algebraic curvature model satisfies the para-Gray identity if and only if it is geometrically realizable by a para-Hermitian manifold. This requires extending the Tricerri-Vanhecke curvature decomposition to the para-Hermitian setting. Additionally, the geometric realization can be chosen to have constant scalar curvature and constant *-scalar curvature.
Keywords
Cite
@article{arxiv.0902.1697,
title = {Geometric Realizations of para-Hermitian curvature models},
author = {M. Brozos-Vazquez and P. Gilkey and S. Nikcevic and R. Vazquez-Lorenzo},
journal= {arXiv preprint arXiv:0902.1697},
year = {2009}
}