Lifting of vector fields to 1-forms on r-jet prolongation of the bundle of tensors of type (0,2)

• Autorzy: Michalec, P.
• Języki publikacji: EN

Abstrakty

EN

For natural numbers n > 2 and r > 1 all natural operators T* (Jr(*2T*)) lifting vector fields from n-manifolds M into 1-forms on Jr(*2T*) are classified. It's proved that the set of all natural operators A.

Słowa kluczowe

PL

operatory; operatory naturalne; pola wektorowe; tensory

EN

vector fields; tensors; operators; natural operators

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 2
• Strony: 471-481
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Michalec, P.

• Institute of Mathematics, Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków, Poland,

Bibliografia

• [1] M. Doupovec, J. Kurek, Lifting of tensor fields to the cotangent bundle, Differential Geometry and Application, Masaryk Univ., Brno 1996, 141–150.
• [2] I. Kolař, P. W. Michor, J. Slovak, Natural Operations in Differential Geometry, Springer-Verlag, Berlin 1993.
• [3] J. Kurek, W. M. Mikulski, The natural operators liftings 1-forms to the r-jet prolongation of the cotangent bundle, Differential Geometry and Application, Math. Publ. 3, Silesian Univ. Opava 2001, 215–2207.
• [4] J. Kurek, W. M. Mikulski, The natural operators liftings 1-forms to some vector bundle functors, Colloq. Math. 93 (2002), 259–265.
• [5] W. M. Mikulski, Liftings of vector fields to 1-form on the r-jet prolongation of the cotangent bundle, Comment. Math. Univ. Carolinae 43,3 (2002), 565–573.