Natural affinors on r-jet prolongation of the tangent bundle

W. M. Mikulski

Address. Institute of Mathematics, Jagellonian University, Reymonta 4, Krakow, POLAND


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