Quaternionic Kaehler manifolds with Hermitian and Norden metrics

Details Quaternionic Kaehler manifolds with Hermitian and Norden metrics Quaternionic Kaehler manifolds with Hermitian and Norden metrics

2009-06-27

arxiv.org/abs/0906.5052v1

Mathematics

Differential Geometry

10 pages

Scientific paper

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.

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