On naturality of the Legendre operator

• Autorzy: Mikulski M.
• Języki publikacji: EN

Abstrakty

EN

We deduce that all natural operators of the type of the Legendre operator from the variational calculus in fibred manifolds are the constant multiples of the Legendre operator.

Słowa kluczowe

EN

natural operator; Lagendre operator

PL

operator naturalny; operator Legendre'a

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 4
• Strony: 969--973
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Mikulski M.

• Institute of Mathematics Jagiellonian University Reymonta 4, Kraków, Poland,

Bibliografia

• [1] I. Kolar, A geometrical version of higher order Hamilton formalism in fibred manifolds, J. Geom. Phys. 1 (2)(1984), 127-137.
• [2] I. Kolar, P. W. Michor, J. Slovak, Natural Operations in Differential Geometry, Springer, Berlin 1993.
• [3] W. M. Mikulski, On naturality of the Helmholtz operator, Archivum Math. Brno 41 (2) (2005), 145-149.
• [4] W. M. Mikulski, On naturality of the formal Euler oprator, Demonstratio Math. 38 (1) (2005), 235-238.