On the curvature properties of real time-like hypersurfaces of Kaehler manifolds with Norden metric

Details On the curvature properties of real time-like hypersurfaces of Kaehler manifolds with Norden metric On the curvature properties of real time-like hypersurfaces of Kaehler manifolds with Norden metric

2008-12-27

arxiv.org/abs/0812.4743v1

In: Trends in Differential Geometry, Complex Analysis and Mathematical Physics, Eds. K. Sekigawa, V. Gerdjikov and S. Dimiev,

Mathematics

Differential Geometry

10 pages, 9th International Workshop on Complex Structures and Vector Fields, Sofia, August 25-29, 2008

Scientific paper

A type of almost contact hypersurfaces with Norden metric of a Kaehler manifold with Norden metric is considered. The curvature tensor and the special sectional curvatures are characterized. The canonical connection on such manifolds is studied and the form of the corresponding Kaehler curvature tensor is obtained. Some curvature properties of the manifolds belonging to the widest integrable main class of the considered type of hypersurfaces are given.

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