Singular reduction of Dirac structures

Jotz, M.; Ratiu, T.; Śniatycki, J.

doi:10.1090/S0002-9947-2011-05220-7

Singular reduction of Dirac structures
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by M. Jotz, T. S. Ratiu and J. Śniatycki

Trans. Amer. Math. Soc. 363 (2011), 2967-3013

DOI: https://doi.org/10.1090/S0002-9947-2011-05220-7

Published electronically: January 10, 2011

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Abstract:

The regular reduction of a Dirac manifold acted upon freely and properly by a Lie group is generalized to a nonfree action. For this, several facts about $G$-invariant vector fields and one-forms are shown.

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