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On holomorphically projective mappings from equiaffine generally recurrent spaces onto Kählerian spaces. (English) Zbl 1164.53317
Summary: In this paper we consider holomorphically projective mappings from the special generally recurrent equiaffine spaces $$A_n$$ onto (pseudo-) Kählerian spaces $$\bar K_n$$. 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. Mikeš and V. V. Domashev, which were done for holomorphically projective mappings of symmetric, recurrent and semisymmetric Kählerian spaces.

##### MSC:
 53B05 Linear and affine connections 53B30 Local differential geometry of Lorentz metrics, indefinite metrics 53B35 Local differential geometry of Hermitian and Kählerian structures
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