Reduction of Dirac structures along isotropic subbundles
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 MarsdenRatiu reduction in Poisson geometry.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 February 2007
 arXiv:
 arXiv:math/0702025
 Bibcode:
 2007math......2025C
 Keywords:

 Mathematics  Differential Geometry;
 Mathematical Physics;
 53D17;
 53D99;
 70H45
 EPrint:
 10 pages. Paper reformulated and reorganized. Added Section 5.3 on Poisson fibrations