Holomorphic hypersurfaces of Kaehler manifolds with Norden metric

Abstract

We study Kaehlerian manifolds with Norden metric $g$ and develop the theory of their holomorphic hypersurfaces with constant totally real sectional curvatures. We prove a classification theorem for the holomorphic hypersurfaces of $({\mathbb{R}}^{2n+2},g,J)$ with constant totally real sectional curvatures.

arXiv comment10 pages

Cited by in corpus (5)

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• Some lightlike submanifolds of almost complex manifolds with Norden metric
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• On Geometry of Manifolds with Some Tensor Structures and Metrics of Norden Type