On holomorphically projective mappings from equiaffine generally recurrent spaces onto K\"ahlerian spaces

Raad J.K. al Lami, Marie Skodova, Josef Mikes


Address.
Raad J.K. al Lami, Basic Education College, Basrah University, Iraq
Department of Algebra and Geometry, Faculty of Science, Palacky University, Tomkova 40, 779 00 Olomouc, Czech Republic

E-mail.
raadjaka@yahoo.com
skodova@inf.upol.cz
mikes@inf.upol.cz

Abstract.
In this paper we consider holomorphically projective mappings from the special generally recurrent equiaffine spaces $A_n$ onto (pseudo-) K\"ahlerian spaces \knn. We proved that these spaces $A_n$ do not admit nontrivial holomorphically projective mappings onto $\bar K_n$. These results are a generalization of results by T.Sakaguchi, J. Mikes and V. V. Domashev, which were done for holomorphically projective mappings of symmetric, recurrent and semisymmetric K\"ahlerian spaces.

AMSclassification. 53B05, 53B30, 53B35.