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Euler–Poincaré Reduction on Principal Bundles

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Abstract

Let π: P → M be an arbitrary principal G-bundle. We give a full proof of the Euler–Poincaré reduction for a G-invariant Lagrangian L: J 1 P → R as well as the study of the second variation formula, the conservations laws, and study some of their properties.

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Authors and Affiliations

  1. Departamento de Geometría y Topología, Universidad Complutense de Madrid, 28040, Madrid, Spain

    M. Castrillón López

  2. Departamento de Matemáticas, Universidad de Salamanca, 37008, Salamanca, Spain

    P. L. García Pérez

  3. Département de Mathématiques, École Polytechnique Fédérale de Lausanne, CH-1015, Lausanne, Switzerland

    T. S. Ratiu

Authors
  1. M. Castrillón López
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  2. P. L. García Pérez
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  3. T. S. Ratiu
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Castrillón López, M., García Pérez, P.L. & Ratiu, T.S. Euler–Poincaré Reduction on Principal Bundles. Letters in Mathematical Physics 58, 167–180 (2001). https://doi.org/10.1023/A:1013303320765

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