Gauge natural prolongation of connections

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

Abstrakty

EN

The main result is the classification of all gauge bundle functors H on the category $𝓟ℬ_m(G)$ which admit gauge natural operators transforming principal connections on P → M into general connections on HP → M. We also describe all gauge natural operators of this type. Similar problems are solved for the prolongation of principal connections to HP → P. A special attention is paid to linear connections.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2009
• Tom: 95
• Numer: 1
• Strony: 37-50

Daty

wydano

2009

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, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/ap95-1-3