Quasi-Kaehler manifolds with a pair of Norden metrics

Abstract

The basic class of the non-integrable almost complex manifolds with a pair of Norden metrics are considered. The interconnections between corresponding quantities at the transformation between the two Levi-Civita connections are given. A 4-parametric family of 4-dimensional quasi-Kaehler manifolds with Norden metric is characterized with respect to the associated Levi-Civita connection.

arXiv comment10 pages

Cited by in corpus (2)

• On Lie groups as quasi-Kähler manifolds with Killing Norden metric
• Invariant Tensors under the Twin Interchange of Norden Metrics on Almost Complex Manifolds