Time-Dependent Mechanical Systems With Non-Linear Constraints

M. De León (), J. C. Marrero () and D. Martin De Diego ()
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M. De León: Consejo Superior de Investigaciones Científicas, Instituto de Matemáticas y Física Fundamental
J. C. Marrero: Universidad de la Laguna, Departamento de Matemática Fundamental Facultad de Matemáticas
D. Martin De Diego: Facultad de Ciencias Económicas y Empresariales, UNED, Departamento de Economía Aplicada Cuantitativa

A chapter in New Developments in Differential Geometry, Budapest 1996, 1999, pp 221-234 from Springer

Abstract: Abstract A geometrical formalism for time-dependent lagrangian systems subjected to non-linear constraints is given in terms of jet manifolds. The solution of the constrained problem is discussed by using almost product structures along the constraint submanifold. A constrained Poincaré-Cartan two-form is defined.

Keywords: Vector Field; Nonholonomic System; Nonholonomic Constraint; Lagrangian System; Reeb Vector (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-011-5276-1_15

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DOI: 10.1007/978-94-011-5276-1_15

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