Lagrangians and Euler morphisms on fibered - fibered frame bundles from projectable - projectable classical linear connections
نویسندگان
چکیده
We classify all FMm1,m2,n1,n2 -natural operators A transforming projectable-projectable torsion-free classical linear connections ∇ on fibered-fibered manifolds Y of dimension (m1,m2, n1, n2) into rth order Lagrangians A(∇) on the fibered-fibered linear frame bundle L(Y ) on Y . Moreover, we classify all FMm1,m2,n1,n2 -natural operators B transforming projectable-projectable torsion-free classical linear connections ∇ on fiberedfibered manifolds Y of dimension (m1,m2, n1, n2) into Euler morphism B(∇) on L(Y ). These classifications can be expanded on the kth order fiberedfibered frame bundle L(Y ) instead of L(Y ).
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