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Theory of holomorphically projective mappings of KÄhlerian spaces

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Abstract

Nontrivial holomorphically projactive mappings of KÄhlerian spaces preserving almost complex structure are considered. Necessary and sufficient conditions of a tensor character for the existence of nontrivial holomorphically protective mappings of KÄhlerian spaces are found. A class of KÄhlerian spaces not admitting nontrivial holomorphically projective mappings is isolated.

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Authors and Affiliations

  1. Odessa State University, USSR

    V. V. Domashev & I. Mikesh

Authors
  1. V. V. Domashev
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  2. I. Mikesh
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Additional information

Translated from Matematicheskie Zametki, Vol. 23, No. 2, pp. 297–303, February, 1978.

In conclusion, the authors thank N. S. Sinyukov for formulating the problem and assistance with the article.

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Domashev, V.V., Mikesh, I. Theory of holomorphically projective mappings of KÄhlerian spaces. Mathematical Notes of the Academy of Sciences of the USSR 23, 160–163 (1978). https://doi.org/10.1007/BF01153160

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  • DOI: https://doi.org/10.1007/BF01153160

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