EMIS ELibM Electronic Journals Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques
Vol. CXXXIV, No. 32, pp. 85–104 (2007)

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Minimal anti-K\"{a}hler holomorphic hypersurfaces

Mileva Prvanovic

Mathematical Institute SANU, Knez Mihailo 35, 11001 Belgrade, Serbia

Abstract: M. Matsumoto examined in \cite{10} the intrinsic properties of minimal hypersurfaces in a flat space and showed that for many of them the second fundamental form can be expressed in terms of the curvature and Ricci tensors.
The aim of this paper is to generalize the investigation of Matsumoto to holomorphic hypersurfaces of an anti-K\"{a}hler manifold of constant totally real sectional curvatures.

Keywords: Anti-K\"{a}hler manifold, holomorphic hypersurface, HC-flat anti-K\"{a}hler manifold, holomorphically Einstein anti-K\"{a}hler manifold

Classification (MSC2000): 53C42, 53C56

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Electronic fulltext finalized on: 23 Sep 2007. This page was last modified: 20 Jun 2011.

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