DEFORMATION OF DIRAC STRUCTURES ALONG ISOTROPIC SUBBUNDLES

作者：Calvo Ivan^*; Falceto Fernando; Zambon Marco

来源：Reports on Mathematical Physics, 2010, 65(2): 259-269.

DOI：10.1016/S0034-4877(10)80020-5

• Courant algebroid
• Dirac structure
• Dirac's theory of constraints
• reduction

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.

• 出版日期2010-4-10