Hemi-Slant Submanifolds of A Locally Conformal Kaehler Manifold

Abstract

In the present paper, we study hemi-slant submanifolds of a locally conformal Kaehler manifold. We give conditions for the integrability of anti invariant and slant distributions which are involved in the definition of hemi slant submanifold. We also get necessary and sufficient conditions for these distributions to define totally geodesic foliations. The paper ends with some results for hemi-slant submanifolds with parallel canonical structures.