Skew-symmetric vector fields on a CR-submanifold of a para-kählerian manifold

Abstract

We deal with a CR-submanifold M of a para-Kählerian manifold M̃, which carries a J-skew-symmetric vector field X. It is shown that X defines a global Hamiltonian of the symplectic form Ω on M□ and JX is a relative infinitesimal automorphism of Ω. Other geometric properties are given. Copyright © 2004 Hindawi Publishing Corporation. All rights reserved.