On a class of groups with Lagrangian factor groups.
Tuccillo, Fernando (1994)
Portugaliae Mathematica
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Tuccillo, Fernando (1994)
Portugaliae Mathematica
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Obădeanu, V., Albu, I.D. (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Manuel de León, David Martín de Diego (1994)
Extracta Mathematicae
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S. V. Jablan (1987)
Matematički Vesnik
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Jablan, Slavik (1987)
Publications de l'Institut Mathématique. Nouvelle Série
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Manuel de León, David Martín de Diego (1998)
Extracta Mathematicae
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The aim of the present paper is twofold. On one hand, we present a classification of infinitesimal symmetries for Lagrangian systems, and the corresponding Noether theorems. The derivation of the result is made by using the symplectic techniques. Some of the results were previously obtained by other authors (see Prince (1985) for instance), and an exhaustive presentation can be found in de León and Martín de Diego (1995, 1996). Let us note that these results are true even if the Lagrangian...
Udrişte, C., Postolache, M., Ţevy, I. (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Antonio Pignedoli (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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One studies the differential equations of the movement of certain classical and relativistic systems for some special Lagrangian functions. One considers particularly the case in which the problem presents cyclic coordinates. Some electrodynamical applications are studied.
S. V. Jablan (1991)
Matematički Vesnik
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Manuel de León, David Martín de Diego (1996)
Extracta Mathematicae
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Given a Lagrangian system with non-holonomic constraints we construct an almost product structure on the tangent bundle of the configuration manifold such that the projection of the Euler-Lagrange vector field gives the dynamics of the system. In a degenerate case, we develop a constraint algorithm which determines a final constraint submanifold where a completely consistent dynamics of the initial system exists.
Jablan, Slavik (1984)
Publications de l'Institut Mathématique. Nouvelle Série
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Bîlă, Nicoleta (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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