HEMI-SLANT SUBMANIFOLDS OF A LOCALLY CONFORMAL KAHLER MANIFOLD

Abstract

In the present paper, we study hemi-slant submanifolds of a locally conformal Kahler 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.