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Natural differential operators between some natural bundles. (English) Zbl 0777.58004

The author proves that for any two natural bundles \(F\) and \(G\) of type (I) and (II) respectively over \(n\)-manifolds, any natural differential operator of \(F\) into \(G\) is of order 0.
Examples of such natural bundles are provided and, as an application of the main theorem, all the natural differential operators between some natural bundles are determined.

MSC:

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