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A geometrical approach to Classical Field Theories: a constraint algorithm for singular theories

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New Developments in Differential Geometry

Part of the book series: Mathematics and Its Applications ((MAIA,volume 350))

Abstract

We construct a geometrical formulation for first order classical field theories in terms of fibered manifolds and connections. Using this formulation, a constraint algorithm for singular field theories is developed. This algorithm extends the constraint algorithm in mechanics.

Supported by DGICYT-SPAIN, Proyecto PB91-0142 and Consejería de Educación del Gobierno de Canarias

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Author information

Authors and Affiliations

  1. Consejo Superior de Inv. Científicas, Instituto de Matemáticas y Físical Fund, Serrano 123, 28006, Madrid, Spain

    Manuel de León

  2. Departament de Matemática Econòmica, Universitat de Barcelona, Diagonal 696, 08034, Barcelona, Spain

    Jesús Marin-Solano

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

    Juan C. Marrero

Authors
  1. Manuel de León
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  2. Jesús Marin-Solano
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  3. Juan C. Marrero
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Editor information

Editors and Affiliations

  1. Institute of Mathematics and Informatics, Lajos Kossuth University, Debrecen, Hungary

    L. Tamássy

  2. Department of Geometry, Lóránd Eötvös University, Budapest, Hungary

    J. Szenthe

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© 1996 Kluwer Academic Publishers

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de León, M., Marin-Solano, J., Marrero, J.C. (1996). A geometrical approach to Classical Field Theories: a constraint algorithm for singular theories. In: Tamássy, L., Szenthe, J. (eds) New Developments in Differential Geometry. Mathematics and Its Applications, vol 350. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0149-0_22

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  • DOI: https://doi.org/10.1007/978-94-009-0149-0_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6553-5

  • Online ISBN: 978-94-009-0149-0

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