Helmholtz conditions and their generalizations.
Krupková, Olga, Malíková, Radka (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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Krupková, Olga, Malíková, Radka (2010)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Palese, Marcella, Vitolo, Raffaele
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Šeděnková, Jana
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Summary: The -th order variational sequence is the quotient sequence of the De Rham sequence on the th jet prolongation of a fibered manifold, factored through its contact subsequence.In this paper, the first order variational sequence on a fibered manifold with one-dimensional base is considered. A new representation of all quotient spaces as some spaces of (global) forms is given. The factorization procedure is based on a modification of the interior Euler operator, used in the theory...