Deformation of integral coisotropic submanifolds in symplectic manifolds

Abstract

In this paper, we prove the unobstructedness of the deformation of integral coisotropic submanifolds in symplectic manifolds, which can be viewed as a natural generalization of Weinstein's results (A. Weinstein, On coisotropic imbeddings of pre-symplectic manifolds, Proc. Am. Math. Soc. 84 (1982), 111--114.) for Lagrangian submanifolds.