Transformation Groups

, Volume 16, Issue 1, pp 175–191

Induced Dirac structures on isotropy-type manifolds


DOI: 10.1007/s00031-011-9123-z

Cite this article as:
Jotz, M. & Ratiu, T.S. Transformation Groups (2011) 16: 175. doi:10.1007/s00031-011-9123-z


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.

Key words and phrases

Dirac structuressingular reductionproper action

AMS classification

70H45, 70G65, 53C15, 53C10 (primary)70G45, 53D17, 53D99 (secondary)

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Section de MathématiquesEcole Polytechnique Fédérale de LausanneLausanneSwitzerland
  2. 2.Section de Mathématiques and Bernouilli CenterEcole Polytechnique Fédérale de LausanneLausanneSwitzerland