Constrained lagrangian submanifolds over singular constraining varieties and discriminant varieties
Stanislaw Janeczko (1987)
Annales de l'I.H.P. Physique théorique
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Displaying similar documents to “Umbilical characteristic number of Lagrangian mappings of 3-dimensional pseudooptical manifolds”
Constrained lagrangian submanifolds over singular constraining varieties and discriminant varieties
On implicit Lagrangian differential systems
S. Janeczko (2000)
Annales Polonici Mathematici
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Let (P,ω) be a symplectic manifold. We find an integrability condition for an implicit differential system D' which is formed by a Lagrangian submanifold in the canonical symplectic tangent bundle (TP,ὡ).
Secondary characteristic classes for the isotropic Grassmannian
Małgorzata Mikosz (1999)
Banach Center Publications
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A geometric analysis of dynamical systems with singular Lagrangians
Monika Havelková (2011)
Communications in Mathematics
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We study dynamics of singular Lagrangian systems described by implicit differential equations from a geometric point of view using the exterior differential systems approach. We analyze a concrete Lagrangian previously studied by other authors by methods of Dirac’s constraint theory, and find its complete dynamics.
Equivalence of Lagrangian germs in the presence of a surface
Wojciech Domitrz, Stanisław Janeczko (1997)
Banach Center Publications
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Geometric mechanics on nonholonomic submanifolds
Olga Krupková (2010)
Communications in Mathematics
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In this survey article, nonholonomic mechanics is presented as a part of geometric mechanics. We follow a geometric setting where the constraint manifold is a submanifold in a jet bundle, and a nonholonomic system is modelled as an exterior differential system on the constraint manifold. The approach admits to apply coordinate independent methods, and is not limited to Lagrangian systems under linear constraints. The new methods apply to general (possibly nonconservative) mechanical...