International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 9-12, Pages 535-540
doi:10.1155/S0161171204307143
Skew-symmetric vector fields on a CR-submanifold of a para-Kählerian manifold
Adela Mihai1
and Radu Rosca2
1Department of Geometry, Faculty of Mathematics, University of Bucharest, Street Academiei 14, Bucharest 70109, Romania
259 avenue Emile Zola, Paris 75015, France
Abstract
We deal with a CR-submanifold M of a para-Kählerian manifold M˜, 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.