On Lightlike Submersion of Radical Transversal Lightlike Submanifolds of a Kaehler Manifold

Abstract

The aim of present study is to introduce the idea of a lightlike submersion onto an indefinite almost Hermitian manifold from a radical transversal lightlike submanifold of an indefinite Kaehler manifold. We show that if an indefinite almost Hermitian manifold B admits a lightlike submersion φ : K → B of a radical transversal lightlike submanifold K of an indefinite Kaehler manifold then B must be an indefinite Kaehler manifold. We also establish the relation between the holomorphic sectional and holomorphic bisectional curvature of Κ and B.