Minimal anti-kahler holomorphic hypersurfaces

Mileva PrvanoviŠ

M. Matsumoto examined in cite10 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-Kahler manifold of constant totally real sectional curvatures.