Volume no :10, Issue no: 1, -2 July and August 2011

KAEHLER LIGHTLIKE SUBMANIFOLDS

Author's: Mouhamadou Hassirou
Pages: [1] - [21]
Received Date: April 10, 2011
Submitted by:

Abstract

In this paper, we introduce a class of lightlike submanifolds of Kaehler manifold. We show that the induced connection is metric. We also endow theirs with symplectic form. Finally, we obtain a class of lightlike symplectic submanifolds. Hamiltonian formulation and symplectic reduction machinery in lightlike are presented.

Keywords

lightlike submanifolds, Kaehler and symplectic manifolds.