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Natural affinors on \(r\)-jet prolongation of the tangent bundle. (English) Zbl 0915.58006

Denote by \(J^rTM\), \(r\geq 1\), the \(r\)-jet prolongation of the tangent bundle of an \(n\)-dimensional manifold \(M\), \(\dim M=n\geq 2\). It is proved that every natural affinor on \(J^rT\) is of the form \(\lambda \delta \), where \(\lambda \) is a real number and \(\delta \) is the identity affinor on \(J^rT\).
Reviewer: J.Janyška (Brno)

MSC:

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