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.
arXiv Mathematics e-prints
- Pub Date:
- February 2007
- Mathematics - Differential Geometry;
- Mathematical Physics;
- 10 pages. Paper reformulated and reorganized. Added Section 5.3 on Poisson fibrations