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Natural affinors on r-jet prolongation of the tangent bundle

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W. M. Mikulski
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** Address.**
Institute of Mathematics, Jagellonian University,
Reymonta 4, Krakow, POLAND

** E-mail:**

**Abstract.**
We deduce that for $n\geq 2$ and $r\geq 1$,
every natural affinor
on $J^rT$ over $n$-manifolds
is of the form $\lambda\delta$ for a real number $\lambda$,
where $\delta$ is the identity affinor on $J^rT$.

**AMSclassification.**
58A20, 53A55

**Keywords.**
Natural affinor, jet prolongations