The constructions of general connections on the fibred product of q copies of the first jet prolongation

• Autorzy: Mariusz Plaszczyk
• Języki publikacji: EN

Abstrakty

EN

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 \(J^{1}Y \rightarrow M\).

Słowa kluczowe

EN

General connection; classical linear connection; first jet prolongation; bundle functor; natural operator

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2018
• Tom: 72
• Numer: 1

Daty

wydano

2018

online

2018-06-25

Twórcy

autor

Mariusz Plaszczyk

Bibliografia

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• 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.

Identyfikatory

DOI

10.17951/a.2018.72.1.77-90