Quaternionic Kaehler manifolds with Hermitian and Norden metrics
Differential Geometry
2014-04-15 v1
Abstract
Almost hypercomplex manifolds with Hermitian and Norden metrics and more specially the corresponding quaternionic Kaehler manifolds are considered. Some necessary and sufficient conditions the investigated manifolds be isotropic hyper-Kaehlerian and flat are found. It is proved that the quaternionic Kaehler manifolds with the considered metric structure are Einstein for dimension at least 8. The class of the non-hyper-Kaehler quaternionic Kaehler manifold of the considered type is determined.
Cite
@article{arxiv.0906.5052,
title = {Quaternionic Kaehler manifolds with Hermitian and Norden metrics},
author = {Mancho Manev},
journal= {arXiv preprint arXiv:0906.5052},
year = {2014}
}
Comments
10 pages