\(K\)-generalized \(G\)-structures (Q2870341)
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scientific article; zbMATH DE number 6247721
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(K\)-generalized \(G\)-structures |
scientific article; zbMATH DE number 6247721 |
Statements
17 January 2014
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\(K\)-generalized \(G\)-structure
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Bianki-Kartan identity
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structural equations
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\(K\)-generalized \(G\)-structures (English)
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In the previous papers (see [\textit{V. M. Kuzakon}, Mat. Metody Fiz.-Mekh. Polya 45, No. 2, 58--63 (2002; Zbl 1076.53504) and [\textit{V. M. Kuzakon}, Ukr. Phis. J. 43, No. 7, 814--817 (1998)]) a concept of generalized bundle space was introduced. This term refers to a structure similar to the principal bundle in which the group, acting in a leaf, depends on the leaf. In this paper, this idea is developed with respect to \(G\)-structures. Also, structure equations of \(K\)-generalized \(G\) -structures are obtained.
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