Włodzimierz M. Mikulski
Abstract
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In this paper we extend the variational calculus to fibered-fibered manifolds. Fibered-fibered manifolds are surjective fibered submersions $\pi:Y\to X$ between fibered manifolds. For natural numbers $s\geq r\leq q$ with $r\geq 1$ we define $(r,s,q)$th o
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In this paper we extend the variational calculus to fibered-fibered manifolds. Fibered-fibered manifolds are surjective fibered submersions $\pi:Y\to X$ between fibered manifolds. For natural numbers $s\geq r\leq q$ with $r\geq 1$ we define $(r,s,q)$th o
Key concepts: Fibered knot, Mathematics, Surjective function, Pure mathematics