Connections and 1-jet fiber bundles
Pedro L. García (1972)
Rendiconti del Seminario Matematico della Università di Padova
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Pedro L. García (1972)
Rendiconti del Seminario Matematico della Università di Padova
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Janyška, J., Modugno, M. (1996)
Archivum Mathematicum
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Irena Čomić (1993)
Publications de l'Institut Mathématique
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Fernando Etayo Gordejuela (1991)
Collectanea Mathematica
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We study the 2-jet bundle of mappings of the real plane into a manifold. We shall prove that there exists an imbedding of this 2-jet bundle into a suitable first order jet bundle, in such a way that its image is the set of fixed points of a canonical automorphism of the biggest jet bundle.
Jacek Gancarzewicz (1983)
Annales Polonici Mathematici
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Stoica, Emil (1999)
Novi Sad Journal of Mathematics
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W. H. Greub, S. Halperin (1975)
Collectanea Mathematica
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Antonella Cabras, Ivan Kolář (1999)
Archivum Mathematicum
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We study the second order connections in the sense of C. Ehresmann. On a fibered manifold , such a connection is a section from into the second non-holonomic jet prolongation of . Our main aim is to extend the classical theory to the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base. This requires several new geometric results about the second order connections on , which are deduced in the first part of...