Affinors and connections in higher order geometry

Miroslav Kureš


Abstract. Non-holonomic bundles of higher order velocities are studied by means of colored simplices. All natural affinors on these bundles are described. Furthermore, connections and their torsions are investigated.

AMSclassification. 53C05, 58A20

Keywords. Higher order velocities, affinor, connection, non-holonomic jet