GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

Abstract

Recently, this author studied lightlike hypersurfaces of an indefinite Kaehler manifold endowed with a semi-symmetric non-metric connection in [7]. Further we study this subject. The object of study in this paper is generic lightlike submanifolds of an indefinite Kaehler manifold endowed with a semi-symmetric nonmetric connection such that the induced structure tensor field on the submanifolds is recurrent or Lie recurrent.

Keywords

• generic lightlike submanifold
• semi-symmetric nonmetric connection
• indefinite Kaehler manifold.