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Time-Dependent Mechanical Systems With Non-Linear Constraints

In: New Developments in Differential Geometry, Budapest 1996

Author

Listed:
  • 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)

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.

Suggested Citation

  • M. De León & J. C. Marrero & D. Martin De Diego, 1999. "Time-Dependent Mechanical Systems With Non-Linear Constraints," Springer Books, in: J. Szenthe (ed.), New Developments in Differential Geometry, Budapest 1996, pages 221-234, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-5276-1_15
    DOI: 10.1007/978-94-011-5276-1_15
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