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

Mikulski, W. M.

Arch. Math., Brno 34, No. 2, 321-328 (1998).

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

Keywords:

natural affinor; jet prolongations