Lagrangians and Euler morphisms on fibered-fibered frame bundles from projectable-projectable classical linear connections
Annales Universitatis Mariae Curie-Skłodowska. Mathematica, Tome 65 (2011) no. 1
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We classify all ℱ^2ℳ_m_1,m_2,n_1,n_2-natural operators A transforming projectable-projectable torsion-free classical linear connections ∇ on fibered-fibered manifolds Y of dimension (m_1,m_2, n_1, n_2) into rth order Lagrangians A(r) on the fibered-fibered linear frame bundle L^fib-fib(Y ) on Y. Moreover, we classify all ℱ^2ℳ_m_1,m_2,n_1,n_2-natural operators B transforming projectable-projectable torsion-free classical linear connections r on fiberedfibered manifolds Y of dimension (m_1,m_2, n_1, n_2) into Euler morphism B(∇) on L^fib-fib(Y ). These classifications can be expanded on the kth order fibered-fibered frame bundle L^fib-fib,k(Y ) instead of L^fib-fib(Y ).
Keywords:
Fibered-fibered manifold, Lagrangian, Euler morphism, natural operator, classical linear connection
@article{AUM_2011_65_1_a4,
author = {Bednarska, Anna},
title = {Lagrangians and {Euler} morphisms on fibered-fibered frame bundles from projectable-projectable classical linear connections},
journal = {Annales Universitatis Mariae Curie-Sk{\l}odowska. Mathematica},
year = {2011},
volume = {65},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUM_2011_65_1_a4/}
}
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%0 Journal Article %A Bednarska, Anna %T Lagrangians and Euler morphisms on fibered-fibered frame bundles from projectable-projectable classical linear connections %J Annales Universitatis Mariae Curie-Skłodowska. Mathematica %D 2011 %V 65 %N 1 %U http://geodesic.mathdoc.fr/item/AUM_2011_65_1_a4/ %G en %F AUM_2011_65_1_a4
Bednarska, Anna. Lagrangians and Euler morphisms on fibered-fibered frame bundles from projectable-projectable classical linear connections. Annales Universitatis Mariae Curie-Skłodowska. Mathematica, Tome 65 (2011) no. 1. http://geodesic.mathdoc.fr/item/AUM_2011_65_1_a4/
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