Address. Silesian University at Opava, Department of Mathematics and Computer Science, Bezrucovo nam. 13, 746 01 Opava, CZECH REPUBLIC
Abstract. Second order anti-holonomic jets as anti-symmetric parts of second order semi-holonomic jets are introduced. The anti-holonomic nature of the Lie bracket is shown. A general result on universality of the Lie bracket is proved.
AMSclassification. 58A20, 53A55
Keywords. Jet, semi-holonomic jet, anti-holonomic jet, velocity, lie bracket, natural differential operator