Geodesic
The Euler and Helmholtz operators on fibered manifolds with oriented bases
J. Kurek 1   ; W. M. Mikulski 2
1 Institute of Mathematics Maria Curie-Skłodowska University Pl. Marii Curie-Skłodowskiej 1 20-031 Lublin, Poland
2 Institute of Mathematics Jagiellonian University Reymonta 4 31-059 Kraków, Poland
Colloquium Mathematicum, Tome 105 (2006) no. 2, pp. 171-177 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study naturality of the Euler and Helmholtz operators arising in the variational calculus in fibered manifolds with oriented bases.
DOI : 10.4064/cm105-2-1
Keywords: study naturality euler helmholtz operators arising variational calculus fibered manifolds oriented bases

J. Kurek  1   ; W. M. Mikulski  2

1 Institute of Mathematics Maria Curie-Skłodowska University Pl. Marii Curie-Skłodowskiej 1 20-031 Lublin, Poland
2 Institute of Mathematics Jagiellonian University Reymonta 4 31-059 Kraków, Poland 
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     title = {The {Euler} and {Helmholtz} operators
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     journal = {Colloquium Mathematicum},
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 on fibered manifolds with oriented bases
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J. Kurek; W. M. Mikulski. The Euler and Helmholtz operators
 on fibered manifolds with oriented bases. Colloquium Mathematicum, Tome 105 (2006) no. 2, pp. 171-177. doi: 10.4064/cm105-2-1

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