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Reduction of Dirac structures along isotropic subbundles

I. Calvo·F. Falceto·M. Zambon
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Abstract

Given a Dirac subbundle and an isotropic subbundle of a Courant algebroid, we provide a canonical method to obtain a new Dirac subbundle. When the original Dirac subbundle is involutive (i.e., a Dirac structure) this construction has interesting applications, for instance to Dirac's theory of constraints and to the Marsden-Ratiu reduction in Poisson geometry.

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I. Calvo, F. Falceto, M. Zambon. 2009-12-30. Reduction of Dirac structures along isotropic subbundles. https://arxiv.org/abs/math/0702025

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