2011•Annales Polonici MathematiciOpen access

On prolongations of projectable connections

Jan Kurek, Włodzimierz M. Mikulski

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Abstract

We extend the concept of $r$-order connections on fibred manifolds to the one of $(r,s,q)$-order projectable connections on fibred-fibred manifolds, where $r,s,q$ are arbitrary non-negative integers with $s\geq r\leq q$. Similarly to the fibred manifold

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We extend the concept of $r$-order connections on fibred manifolds to the one of $(r,s,q)$-order projectable connections on fibred-fibred manifolds, where $r,s,q$ are arbitrary non-negative integers with $s\geq r\leq q$. Similarly to the fibred manifold

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Available abstract

We extend the concept of $r$-order connections on fibred manifolds to the one of $(r,s,q)$-order projectable connections on fibred-fibred manifolds, where $r,s,q$ are arbitrary non-negative integers with $s\geq r\leq q$. Similarly to the fibred manifold

Key concepts: Fibered knot, Mathematics, Order (exchange), Pure mathematics, Manifold (fluid mechanics), Economics, Finance, Mechanical engineering

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