Geodesic
Uniqueness results for operators in the variational sequence
W. M. Mikulski1
1 Institute of Mathematics Jagiellonian University /Lojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 95 (2009) no. 2, pp. 125-133 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that the most interesting operators in the Euler–Lagrange complex from the variational bicomplex in infinite order jet spaces are determined up to multiplicative constant by the naturality requirement, provided the fibres of fibred manifolds have sufficiently large dimension. This result clarifies several important phenomena of the variational calculus on fibred manifolds.
DOI : 10.4064/ap95-2-3
Keywords: prove interesting operators euler lagrange complex variational bicomplex infinite order jet spaces determined multiplicative constant naturality requirement provided fibres fibred manifolds have sufficiently large dimension result clarifies several important phenomena variational calculus fibred manifolds

W. M. Mikulski 1

1 Institute of Mathematics Jagiellonian University /Lojasiewicza 6 30-348 Kraków, Poland 
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W. M. Mikulski. Uniqueness results for operators in the variational sequence. Annales Polonici Mathematici, Tome 95 (2009) no. 2, pp. 125-133. doi: 10.4064/ap95-2-3

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