The geometry of autonomous metrical multi-time Lagrange space of electrodynamics.
Neagu, Mircea (2002)
International Journal of Mathematics and Mathematical Sciences
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Neagu, Mircea (2002)
International Journal of Mathematics and Mathematical Sciences
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Vladimir Balan, Nicoleta Voicu (2004)
Open Mathematics
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In the framework of jet spaces endowed with a non-linear connection, the special curves of these spaces (h-paths, v-paths, stationary curves and geodesics) which extend the corresponding notions from Riemannian geometry are characterized. The main geometric objects and the paths are described and, in the case when the vertical metric is independent of fiber coordinates, the first two variations of energy and the extended Jacobi field equations are derived.
Sandovici, Adrian (2003)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Mircea Neagu (2006)
Archivum Mathematicum
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The aim of this paper is to construct a canonical nonlinear connection on the 1-jet space from the Euler-Lagrange equations of the quadratic multi-time Lagrangian function
Neagu, Mircea (2003)
International Journal of Mathematics and Mathematical Sciences
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Sandovici, A. (2005)
Rendiconti del Seminario Matematico
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Kirkovits, Magdalen Sz. (1991)
Mathematica Pannonica
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Yavuz Nutku (1974)
Annales de l'I.H.P. Physique théorique
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