Weil bundles as generalized jet spaces

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Authors	KOLÁŘ Ivan
Year of publication	2008
Type	Article in Proceedings
Conference	Handbook of Global Analysis
MU Faculty or unit	Faculty of Science
Citation
web	https://doi.org/10.1016/B978-044452833-9.50013-9
Doi	https://doi.org/10.1016/B978-044452833-9.50013-9
Field	General mathematics
Keywords	Weil algebra; Weil bundle; jet space; connection; curvature;torsion
Description	We generalize the concept of higher order velocity and we interpret a Weil bundle as the space of A-velocities for an arbitrary Weil algebra A. We deduce geometric results on Weilian prolongations of various geometric objects. We characterize every fiber product preserving bundle functor on fibered manifolds in a jet-like manner and discuss some applications.
Related projects:	Mathematical structures and their physical applications Geometric structures on fibered manifolds