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arxiv: 1211.2091 · v1 · pith:H3YGGIGInew · submitted 2012-11-09 · 🧮 math.DG

Holomorphic hypersurfaces of Kaehler manifolds with Norden metric

classification 🧮 math.DG
keywords holomorphichypersurfacesconstantcurvaturesmanifoldsmetricnordenreal
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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.

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