Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids

Abstract

We extend the Marsden-Weinstein reduction theorem and the Darboux-Moser-Weinstein theorem to symplectic Lie algebroids. We also obtain a coisotropic embedding theorem for symplectic Lie algebroids.

42 pages, references added, errors in section 5 corrected

References in corpus (1)

• Reduction theory for singular symplectic manifolds and singular forms on moduli spaces