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Induced Dirac structure on isotropy type manifolds

2010/08/13 by Ratiu, Tudor S., Jotz, Madeleine
#53C10 Secondary subjects: 70G45 #53C15 #53D17 #53D99 #70G65 #Differential Geometry (math.DG) #FOS: Mathematics #Primary subjects: 70H45

paper · doi:10.48550/arxiv.1008.2280

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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