The vertical prolongation of the projectable connections
Anna Bednarska
Annales UMCS, Mathematica, Tome 66 (2012), p. 1-5 / Harvested from The Polish Digital Mathematics Library
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We prove that any first order F2 Mm1,m2,n1,n2-natural operator transforming projectable general connections on an (m1,m2, n1, n2)-dimensional fibred-fibred manifold p = (p, p) : (pY : Y → Y) → (pM : M → M) into general connections on the vertical prolongation V Y → M of p: Y → M is the restriction of the (rather well-known) vertical prolongation operator V lifting general connections Γ on a fibred manifold Y → M into VΓ (the vertical prolongation of Γ) on V Y → M.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:267710 
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     title = {The vertical prolongation of the projectable connections},
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     volume = {66},
     year = {2012},
     pages = {1-5},
     zbl = {1271.58004},
     language = {en},
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Anna Bednarska. The vertical prolongation of the projectable connections. Annales UMCS, Mathematica, Tome 66 (2012) pp. 1-5. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-012-0001-5/

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