Semi-Kählerian submanifolds of an indefinite complex space form
Let \(M'\) be an indefinite Kaehlerian manifold of constant holomorphic curvature and M a semi-Kaehlerian submanifold of \(M'\). The purpose of the paper is to study the geometry of M under additional hypotheses. In {\S} 3 M is supposed to be space-like and its scalar curvature to be constant. {\S} 4 describes conditions for complete submanifolds M to be Einstein manifolds. In {\S} 5 M is an indefinite Kaehler space form, too. And the last two sections are devoted to complex Einstein hypersurfaces of \(M'\). The results mainly are obtained by thorough local investigations.
scientific article; zbMATH DE number 4096288
scientific article