Connections on higher order tangent bundles
Tomáš Klein (1981)
Časopis pro pěstování matematiky
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Tomáš Klein (1981)
Časopis pro pěstování matematiky
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Ivan Kolář (1981)
Archivum Mathematicum
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Vladimír Lešovský (1982)
Archivum Mathematicum
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Antonella Cabras, Ivan Kolář (2002)
Archivum Mathematicum
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First we deduce some general properties of product preserving bundle functors on the category of fibered manifolds. Then we study the prolongation of projectable tangent valued forms with respect to these functors and describe the complete lift of the Frölicher-Nijenhuis bracket. We also present the coordinate formula for composition of semiholonomic jets.
Anna Bednarska (2012)
Annales UMCS, Mathematica
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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.