Weil bundles as generalized jet spaces
| Authors | |
|---|---|
| Year of publication | 2008 |
| Type | Article in Proceedings |
| Conference | Handbook of Global Analysis |
| MU Faculty or unit | |
| 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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