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arxiv: math/0702025 · v3 · submitted 2007-02-01 · 🧮 math.DG · math-ph· math.MP

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Reduction of Dirac structures along isotropic subbundles

I. Calvo , F. Falceto , M. Zambon
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classification 🧮 math.DG math-phmath.MP
keywords diracsubbundleisotropicreductionalgebroidalongapplicationscanonical
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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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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Generalised Complex and Spinor Relations

    hep-th 2026-03 unverdicted novelty 7.0

    Courant algebroid relations define spinor and Dirac structure relations, with T-duality inducing spinor relations that generalize twisted cohomology isomorphisms and are compatible with Type II supergravity equations.