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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.

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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