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

100%

Plaszczyk M.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2018

tom 72

nr 1

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

The constructions of general connections on second jet prolongation

100%

Plaszczyk M.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2014

tom 68

nr 1

We determine all natural operators D transforming general connections Γ on fibred manifolds Y → M and torsion free classical linear connections ∇ on M into general connections D(Γ,∇) on the second order jet prolongation J2Y → M of Y → M.

Ograniczanie wyników

2 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2 Plaszczyk M.

1 2018

1 2014

Wyniki wyszukiwania

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

The constructions of general connections on second jet prolongation