Slant lightlike submersions from an indefinite nearly Kahler manifold into a lightlike manifold

Abstract

As a generalization of almost Hermitian submersions, we introduce slant lightlike submersion from an indefinite nearly Kähler manifold into a lightlike manifold. We establish the existence theorems for these submersions and investigate the geometry of foliations which are arisen from the definition of lightlike submersion. We also find necessary and sufficient condition for the leaves of the distributions to be totally geodesic foliations in indefinite nearly Kähler manifold.