The geometry of the dual of a vector bundle.
Miron, Radu, Ianuş, Stere, Anastasiei, Mihai (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Miron, Radu, Ianuş, Stere, Anastasiei, Mihai (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Kirkovits, Magdalen Sz. (1991)
Mathematica Pannonica
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Vladimír Lešovský (1982)
Archivum Mathematicum
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Alexandr Vondra (1994)
Archivum Mathematicum
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The (infinitesimal) symmetries of first and second-order partial differential equations represented by connections on fibered manifolds are studied within the framework of certain “strong horizontal“ structures closely related to the equations in question. The classification and global description of the symmetries is presented by means of some natural compatible structures, eġḃy vertical prolongations of connections.
Čomić, I. (1996)
Publications de l'Institut Mathématique. Nouvelle Série
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Ivan Kolář (1973)
Czechoslovak Mathematical Journal
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de León, Manuel, Salgado, Modesto (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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D. Opris, I. D. Albu (1998)
Czechoslovak Mathematical Journal
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We present some geometrical aspects of a higher-order jet bundle which is considered a suitable framework for the study of higher-order dynamics in continuous media. We generalize some results obtained by A. Vondra, [7]. These results lead to a description of the geometrical dynamics of higher order generated by regular equations.