The natural operators lifting vector fields to \((J^rT^*)^*\). (English) Zbl 1049.58011

Mikulski, Włodzimierz M.

Arch. Math., Brno 36, No. 4, 255-260 (2000).

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 \(T^*M\).

Reviewer: Ivan Kolář (Brno)

MSC:

58A20	Jets in global analysis
53A55	Differential invariants (local theory), geometric objects

Keywords:

bundle functors; natural transformations; natural operators