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Zbl 1049.58011
Mikulski, Włodzimierz M.
The natural operators lifting vector fields to $(J^rT^*)^*$.
(English)
[J] Arch. Math., Brno 36, No. 4, 255-260 (2000). ISSN 0044-8753; ISSN 1212-5059/e

The author determines explicitly all natural operators lifting vector fields from a manifold $M$ to the vector bundle $(J^rT^*M)^*$ dual to the $r$-jet prolongation $J^rT^*M$ of the cotangent bundle $T^*M$.
[Ivan Kolář (Brno)]
MSC 2000:
*58A20 Jets
53A55 Differential invariants (local theory), geometric objects

Keywords: bundle functors; natural transformations; natural operators

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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