On lifts of projectable-projectable classical linear connections to the cotangent bundle
Anna Bednarska
Annales UMCS, Mathematica, Tome 67 (2013), p. 1-10 / Harvested from The Polish Digital Mathematics Library
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We describe all F2Mm1,m2,n1,n2-natural operators D: Qτproj-prj ↝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 F2Mm1,m2,n1,n2-natural operators D: Qτproj-proj ↝ (T*,⊗pT*⊗⊗qT) for p = 2, q = 1 and p = 3, q = 0.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:268229 
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     journal = {Annales UMCS, Mathematica},
     volume = {67},
     year = {2013},
     pages = {1-10},
     zbl = {1287.58002},
     language = {en},
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Anna Bednarska. On lifts of projectable-projectable classical linear connections to the cotangent bundle. Annales UMCS, Mathematica, Tome 67 (2013) pp. 1-10. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-012-0017-x/

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