Czasopismo
Tytuł artykułu
Autorzy
Treść / Zawartość
Pełne teksty:
Warianty tytułu
Języki publikacji
Abstrakty
We describe all natural operators \(A\) transforming general connections \(\Gamma\) on fibred manifolds \(Y \rightarrow M\) and torsion-free classical linear connections \(\Lambda\) on \(M\) into general connections \(A(\Gamma,\Lambda)\) on the fibred product \(J^{}Y \rightarrow M\) of \(q\) copies of the first jet prolongation \(J^{1}Y \rightarrow M\).
Rocznik
Tom
Numer
Opis fizyczny
Daty
wydano
2018
online
2018-06-25
Twórcy
autor
Bibliografia
- Doupovec, M., Mikulski, W. M., Holonomic extension of connections and symmetrization of jets, Rep. Math. Phys. 60 (2007), 299-316.
- Kolar, I., Prolongations of generalized connections, in: Differential Geometry (Budapest,1979), Colloq. Math. Soc. Janos Bolyai, 31, North-Holland, Amsterdam, 1982, 317-325.
- Kolar, I., Higher order absolute differentiation with respect to generalized connections, in: Differential Geometry (Warsaw, 1979), PWN – Polish Sci. Publ., Warszawa, 1984, 153-162.
- Kolar, I., Michor, P. W., Slovak J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993.
- Kurek, J., Mikulski, W. M., On prolongations of projectable connections, Ann. Polon. Math. 101 (3) (2011), 237-250.
- Mikulski, W. M., On “special” fibred coordinates for general and classical connections, Ann. Polon. Math. 99 (2010), 99-105.
- Mikulski, W. M., On prolongation of connections, Ann. Polon. Math. 97 (2) (2010), 101-121.
- Plaszczyk, M., The constructions of general connections on second jet prolongation, Ann. Univ. Mariae Curie-Skłodowska Sect. A 68 (1) (2014), 67-89.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ojs-doi-10_17951_a_2018_72_1_77-90