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 http://dx.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.
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