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Induced Dirac structures on isotropy-type manifolds

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Abstract

A new method of singular reduction is extended from Poisson to Dirac manifolds. Then it is shown that the Dirac structures on the strata of the quotient coincide with those of the only other known singular Dirac reduction method.

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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

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

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Partially supported by Swiss NSF grant 200021-121512.

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Jotz, M., Ratiu, T.S. Induced Dirac structures on isotropy-type manifolds. Transformation Groups 16, 175–191 (2011). https://doi.org/10.1007/s00031-011-9123-z

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  • DOI: https://doi.org/10.1007/s00031-011-9123-z

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