On lifts of projectable-projectable classical linear connections to the cotangent bundle

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BEDNARSKA On lifts of projectable - projectable classical linear connections to the cotangent bundle

We describe all FMm1,m2,n1,n2 -natural operators D : Qproj-proj QT ∗ transforming projectable-projectable classical torsion-free linear connections ∇ on fibred-fibred manifolds Y into classical linear connections D(∇) on cotangent bundles T ∗Y of Y . We show that this problem can be reduced to finding FMm1,m2,n1,n2 -natural operators D : Qproj-proj (T ∗,⊗pT ∗⊗⊗qT ) for p = 2, q = 1 and p = 3, q...

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ژورنال

عنوان ژورنال: Annales UMCS, Mathematica

سال: 2013

ISSN: 2083-7402,0365-1029

DOI: 10.2478/v10062-012-0017-x