Reduction of Dirac structures along isotropic subbundles
Differential Geometry
2010-03-05 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0702025,
title = {Reduction of Dirac structures along isotropic subbundles},
author = {I. Calvo and F. Falceto and M. Zambon},
journal= {arXiv preprint arXiv:math/0702025},
year = {2010}
}
Comments
10 pages. Paper reformulated and reorganized. Added Section 5.3 on Poisson fibrations