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On the geometry of quasi-Kähler manifolds with Norden metric. (English) Zbl 1094.53021

Summary: The basic class of the non-integrable almost complex manifolds with Norden metric is considered. Its curvature properties are studied. The isotropic Kähler type of investigated manifolds is introduced and characterized geometrically.

MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
32Q60 Almost complex manifolds
53C55 Global differential geometry of Hermitian and Kählerian manifolds
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