Some properties of fiber product preserving bundle functors
| Authors | |
|---|---|
| Year of publication | 2011 |
| Type | Article in Periodical |
| Magazine / Source | Differential Geometry and its Applications |
| MU Faculty or unit | |
| 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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