Equivariance, variational principles, and the Feynman integral.
Svetlichny, George (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Svetlichny, George (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Tychynin, Valentyn, Petrova, Olga, Tertyshnyk, Olesya (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Cicogna, Giampaolo, Ceccherini, Francesco, Pegoraro, Francesco (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Rasin, Olexandr G., Hydon, Peter E. (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Michal Lenc, Jana Musilová, Lenka Czudková (2009)
Archivum Mathematicum
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In the presented paper we apply the theory of Lepage forms on jet prolongations of fibred manifold with one-dimensional base to the relativistic mechanics. Using this geometrical theory, we obtain and discuss some well-known conservation laws in their general form and apply them to a concrete physical example.
Muriel, C., Romero, J. L. (2003)
Journal of Lie Theory
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Chavchanidze, G. (2001)
Georgian Mathematical Journal
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Borowiec, A., Ferraris, M., Francaviglia, M., Palese, M. (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Taranov, Volodymyr B. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Kalnins, Ernest G., Kress, Jonathan M., Jr., Willard Miller, Post, Sarah (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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