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Title: Prolongation of vector fields to jet bundles (English)
Author: Kolář, Ivan
Author: Slovák, Jan
Language: English
Journal: Proceedings of the Winter School "Geometry and Physics"
Issue: 1989
Pages: [103]-111
Category: math
Summary: [For the entire collection see Zbl 0699.00032.] \par In this interesting paper the authors show that all natural operators transforming every projectable vector field on a fibered manifold Y into a vector field on its r-th prolongation $J\sp rY$ are the constant multiples of the flow operator. Then they deduce an analogous result for the natural operators transforming every vector field on a manifold M into a vector field on any bundle of contact elements over M. (English)
MSC: 53A55
MSC: 58A20
MSC: 58F25
idZBL: Zbl 0712.58007
idMR: MR1061792
Date available: 2009-07-13T21:24:41Z
Last updated: 2012-09-18
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