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Some properties of fiber product preserving bundle functors
Autoři | |
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Rok publikování | 2011 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Differential Geometry and its Applications |
Fakulta / Pracoviště MU | |
Citace | |
Obor | Obecná matematika |
Klíčová slova | principal gauge-like prolongation; Weil algebra; jet bundle |
Popis | Let F be a bundle functor on the category of fibered manifolds with m-dimensional bases and fibered morphisms over local diffeomorphisms of proper base order r. We deduce that the r-th principal prolongation of a principal bundle is a reduction of its principal F-prolongation. In certain special cases, we solve the problem up to what extend F is determined by the underlying group homomorphism. |
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