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Time-Dependent Mechanical Systems With Non-Linear Constraints

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New Developments in Differential Geometry, Budapest 1996

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.

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Author information

Authors and Affiliations

  1. Instituto de Matemáticas y Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006, Madrid, Spain

    M. De León

  2. Departamento de Matemática Fundamental Facultad de Matemáticas, Universidad de la Laguna, La Laguna, Tenerife, Canary Islands, Spain

    J. C. Marrero

  3. Departamento de Economía Aplicada Cuantitativa, Facultad de Ciencias Económicas y Empresariales, UNED, 28040, Madrid, Spain

    D. Martin De Diego

Authors
  1. M. De León
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  2. J. C. Marrero
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  3. D. Martin De Diego
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Editor information

Editors and Affiliations

  1. Department of Geometry, Loránd Eötvös University, Budapest, Hungary

    J. Szenthe

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© 1999 Springer Science+Business Media Dordrecht

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De León, M., Marrero, J.C., Martin De Diego, D. (1999). Time-Dependent Mechanical Systems With Non-Linear Constraints. In: Szenthe, J. (eds) New Developments in Differential Geometry, Budapest 1996. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5276-1_15

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  • DOI: https://doi.org/10.1007/978-94-011-5276-1_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6220-6

  • Online ISBN: 978-94-011-5276-1

  • eBook Packages: Springer Book Archive

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