Supplement to ``Fine structure of reductive pseudo-Kählerian spaces''
The authors correct the proof of some statement of the paper [Geom. Dedicata 39, No. 3, 321-338 (1991; Zbl 0739.53040)] and derive from the results of the paper a new corollary: Let \(M=G/H\) be a reductive homogeneous pseudo-Kähler manifold. Then its fibration by bounded holomorphic functions is a trivial holomorphic fiber bundle over a bounded symmetric domain whose fiber is a reductive pseudo-Kähler manifold with no nonconstant bounded holomorphic functions. In particular, if any two points of \(M\) can be separated by holomorphic functions, than it is biholomorphic to \({\mathbb{C}}^ n\times({\mathbb{C}}^*)^ m\times D\), where \(D\) is a bounded symmetric domain.
scientific article; zbMATH DE number 57587