On \(F\)-planar mappings onto Riemann spaces (Q2733941)
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scientific article; zbMATH DE number 1633262
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(F\)-planar mappings onto Riemann spaces |
scientific article; zbMATH DE number 1633262 |
Statements
2 September 2001
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\(F\)-planar mapping
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holomorphically projective mapping
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affine-connected spaces
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Riemannian spaces
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Kählerian spaces
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On \(F\)-planar mappings onto Riemann spaces (English)
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From authors' abstract: In this paper we consider \(F\)-planar mappings from affine-connected spaces onto (pseudo-) Riemannian spaces. We find the equations of these mappings in the form of a system of Cauchy equations under some very general conditions. These results generalize the results obtained for geosetic, holomorphically projective and special \(F\)-planar mappings of Riemannian and Kählerian spaces, by N. S. Sinyukov, J. Mikeš, V. V. Domashev, I. N. Kurbatova, V. E. Berezovsky, M. Shiha. We continue the investigations of the \(F\)-planar mappings for covariantly constant structures.NEWLINENEWLINEFor the entire collection see [Zbl 0966.00031].
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