Uniqueness results for operators in the variational sequence

• Autorzy: W. M. Mikulski
• Języki publikacji: EN

Abstrakty

EN

We prove that the most interesting operators in the Euler-Lagrange complex from the variational bicomplex in infinite order jet spaces are determined up to multiplicative constant by the naturality requirement, provided the fibres of fibred manifolds have sufficiently large dimension. This result clarifies several important phenomena of the variational calculus on fibred manifolds.

Kategorie tematyczne

• 49Q99: None of the above, but in this section
• 58A32: Natural bundles
• 58A20: Jets
• 49S05: Variational principles of physics (should also be assigned at least one other classification number in section 49)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2009
• Tom: 95
• Numer: 2
• Strony: 125-133

Daty

wydano

2009

Twórcy

autor

W. M. Mikulski

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

Identyfikatory

DOI

10.4064/ap95-2-3