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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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