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math.DG2010★ 2 cited
Dirac optimal reduction
Tudor S. Ratiu, Madeleine Jotz
The purpose of this paper is to generalize the regular Optimal Reduction Theorem to general proper Dirac actions, formulated both in terms of point and orbit reduction. A compariso…
math.DG2010★ 3 cited
Induced Dirac structure on isotropy type manifolds
Tudor S. Ratiu, Madeleine Jotz
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…