Singular reduction of Dirac structures

Abstract

The regular reduction of a Dirac manifold acted upon freely and properly by a Lie group is generalized to a nonfree action. For this, several facts about $G$-invariant vector fields and one-forms are shown.

References in corpus (5)

• Reduction of Courant algebroids and generalized complex structures
• Induced Dirac structure on isotropy type manifolds
• Stratified Subcartesian Spaces
• Dirac optimal reduction
• Invariant generators for generalized distributions

Cited by in corpus (1)

• Invariant generators for generalized distributions