PRINCIPAL BUNDLES WITH A NON-ABELIAN STRUCTURAL GROUP POSSESSING MANY-VALUED AUTOMORPHISMS |
| 1 | |
| 2011 |
| scientific article | 515.16 | ||
| 162-169 | smooth manifold, principal bundle, lifting group action, invariant connection, characteristic class |
| Principal bundles with a finite group ? action given on the base are considered. A general form of action lifting on the bundle space has been found. A category of pseudo ?-bundles has been constructed which admits the exist-ence of invariant (relative to the lifted action) connection on the bundle space. Characteristic classes have been found. For a particular case of action lifting, the existence criterion for invariant connection and the morphism crite-rion have been obtained. |
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