Gauge natural constructions on higher order principal prolongations

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

Abstrakty

EN

Let $W^r_mP$ be a principal prolongation of a principal bundle P → M. We classify all gauge natural operators transforming principal connections on P → M and rth order linear connections on M into general connections on $W^r_mP → M$. We also describe all geometric constructions of classical linear connections on $W^r_mP$ from principal connections on P → M and rth order linear connections on M.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 92
• Numer: 1
• Strony: 87-97

Daty

wydano

2007

Twórcy

autor

Miroslav Doupovec

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

autor

Włodzimierz M. Mikulski

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/ap92-1-9