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Constraints in Euler-Poincaré Reduction of Field Theories

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Abstract

The goal of this short note is to show the geometric structure of the Euler-Poincaré reduction procedure in Field Theories with special emphasis on the nature of the set of variations and the set of admissible sections. The method of Lagrange multipliers is also applied for a deeper study of these constraints.

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Authors and Affiliations

  1. ICMAT (CSIC, UAM, UC3M, UCM), Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040, Madrid, Spain

    M. Castrillón López

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  1. M. Castrillón López
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Correspondence to M. Castrillón López.

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The author was partially supported by Ministerio de Ciencia e Innovacion (Spain) under grants MTM2010-19111 and MTM2011-22528.

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Castrillón López, M. Constraints in Euler-Poincaré Reduction of Field Theories. Acta Appl Math 120, 87–99 (2012). https://doi.org/10.1007/s10440-012-9695-1

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