Noether transformations with vanishing conserved quantity
Xavier Gràcia, Josep M. Pons (1994)
Annales de l'I.H.P. Physique théorique
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Displaying similar documents to “Contact transformations in Wheeler-Feynman electrodynamics”
Noether transformations with vanishing conserved quantity
Noether (and Gauge) transformations for higher order singular lagrangians.
Xavier Gràcia, Josep M. Pons (1996)
Extracta Mathematicae
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Classification of symmetries for higher order Lagrangian systems.
Manuel de León, David Martín de Diego (1994)
Extracta Mathematicae
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A unified approach to constrained mechanical systems as implicit differential equations
F. Barone, R. Grassini, G. Mendella (1999)
Annales de l'I.H.P. Physique théorique
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Solving non-holonomic Lagrangian dynamics in terms of almost product structures.
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.
Symmetries and constants of the motion for dynamics in implicit form
G. Marmo, G. Mendella, W. M. Tulczyjew (1992)
Annales de l'I.H.P. Physique théorique
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Conservation laws and symmetry in economic growth models: a geometrical approach.
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...