Dynamical systems and Lagrangian spaces.
Obădeanu, V., Albu, I.D. (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Obădeanu, V., Albu, I.D. (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Maxim È. Kazarian (1996)
Banach Center Publications
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As shown by V. Vassilyev [V], singularities of arbitrary Lagrangian mappings of three-folds form no integral characteristic class. We show, nevertheless, that in the pseudooptical case the number of singularities counted with proper signs forms an invariant. We give a topological interpretation of this invariant, and its applications. The results of the paper may be considered as a 3-dimensional generalization of the results due to V. I. Arnold [A].
W. M. Tulczyjew (1977)
Annales de l'I.H.P. Physique théorique
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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.
Yu V. Chekanov (1996)
Mathematische Zeitschrift
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Stanislaw Janeczko (1987)
Annales de l'I.H.P. Physique théorique
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Audin, Michèle (2005)
Portugaliae Mathematica. Nova Série
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Alexandre Sukhov, Alexander Tumanov (2013)
Annales de la faculté des sciences de Toulouse Mathématiques
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The paper discusses some aspects of Gromov’s theory of gluing complex discs to Lagrangian manifolds.
Wojciech Domitrz, Stanisław Janeczko (1997)
Banach Center Publications
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Mark J. Gotay, James M. Nester (1980)
Annales de l'I.H.P. Physique théorique
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