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Invariant frames for vector bundles and applications

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Abstract

This paper completes a proof of the Dirac reduction theorem by involutive tangent subbundles. As a consequence, Dirac reduction by a proper Lie group action having one isotropy type is carried out. The main technical tool in the proof is the notion of partial connections on suitable vector bundles.

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Authors and Affiliations

  1. Section de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, 1015, Lausanne, Switzerland

    M. Jotz

  2. Section de Mathématiques and Bernouilli Center, Ecole Polytechnique Fédérale de Lausanne, 1015, Lausanne, Switzerland

    T. S. Ratiu

  3. Departamento de Matemáticas, Universidad Autónoma de Madrid and ICMAT(CSIC-UAM-UC3M-UCM), Campus de Cantoblanco, 28049, Madrid, Spain

    M. Zambon

Authors
  1. M. Jotz
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  2. T. S. Ratiu
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  3. M. Zambon
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Correspondence to M. Zambon.

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Jotz, M., Ratiu, T.S. & Zambon, M. Invariant frames for vector bundles and applications. Geom Dedicata 158, 23–34 (2012). https://doi.org/10.1007/s10711-011-9618-8

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  • DOI: https://doi.org/10.1007/s10711-011-9618-8

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