Anti-holonomic jets and the Lie bracket

Michal Krupka

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