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.
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