On iteration of higher order jets and prolongation of connections
Tom 100 / 2011
Annales Polonici Mathematici 100 (2011), 55-75 MSC: 58A05, 58A20. DOI: 10.4064/ap100-1-6
We introduce exchange natural equivalences of iterated nonholonomic, holonomic and semiholonomic jet functors, depending on a classical linear connection on the base manifold. We also classify some natural transformations of this type. As an application we introduce prolongation of higher order connections to jet bundles.