On iteration of higher order jets and prolongation of connections

• Autorzy: Miroslav Doupovec , Włodzimierz M. Mikulski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 58A05: Differentiable manifolds, foundations
• 58A20: Jets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 100
• Numer: 1
• Strony: 55-75

Daty

wydano

2011

Twórcy

autor

Miroslav Doupovec

• Department of Mathematics, Brno University of Technology, FSI VUT, Technická 2, 616 69 Brno, Czech Republic

autor

Włodzimierz M. Mikulski

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/ap100-1-6