2-forms induced by lagrangians on weil bundles

• Autorzy: Mikulski W.
• Języki publikacji: EN

Abstrakty

EN

Let Q : B - A be an algebra epimorphism of Well algebras and let Q :T M -> T M be the canonical extension of Q over a manifold M. The full classification of natural operators transforming functions TAM -"o R into 2-forms on TBM of finite order with respect to Q is given.

Słowa kluczowe

EN

Weil algebra; Weil bundle; natural operator

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 4
• Strony: 995--967
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Mikulski W.

• Institute of Mathematics Jagiellonian University Reymonta 4 Kraków, Poland

Bibliografia

• [1] J. Dębecki, Natural transformations of Lagrangians, (Polish), Doctoral thesis at Jagiellonian University, Cracov 1995.
• [2] I. Kolář, P. W. Michor and J. Slovák, Natural Operations in Differential Geometry, Springer-Verlag, Berlin 1993.
• [3] M. de Leon and P. R. Rodrigues, The inverse problem of Lagrangian dynamics for higher-order differential equations: a geometrical approach, Inverse Problems 8 (1992), 525-540.
• [4] W. M. Mikulski, Invariants of Lagrangians on Weil bundles and their classifications, Geom. Dedicata 67 (1997), 83-106.