Some properties of fiber product preserving bundle functors

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Authors	KOLÁŘ Ivan
Year of publication	2011
Type	Article in Periodical
Magazine / Source	Differential Geometry and its Applications
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	principal gauge-like prolongation; Weil algebra; jet bundle
Description	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.
Related projects:	Mathematical structures and their physical applications Global analysis and the geometry of fibred spaces