Reduction theorem for general connections

• Autorzy: Josef Janyška
• Języki publikacji: EN

Abstrakty

EN

We prove the (first) reduction theorem for general and classical connections, i.e. we prove that any natural operator of a general connection Γ on a fibered manifold and a classical connection Λ on the base manifold can be expressed as a zero order operator of the curvature tensors of Γ and Λ and their appropriate derivatives.

Kategorie tematyczne

• 53C05: Connections, general theory
• 58A32: Natural bundles
• 58A20: Jets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 102
• Numer: 3
• Strony: 231-254

Daty

wydano

2011

Twórcy

autor

Josef Janyška

• Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37 Brno, The Czech Republic

Identyfikatory

DOI

10.4064/ap102-3-4