## 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

### Keywords:

natural affinor; jet prolongations
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