Quasi hemi-slant submanifolds of trans-Sasakian manifolds

Abstract

‎This paper is devoted to the integrability of distributions of the quasi hemi-slant submanifold $M\subseteq\overline{M}$ when $\overline{M}$ has a tans-Sasakian structure‎. ‎First‎, ‎we show that anti-invariant distributions are integrable‎. ‎Next‎, ‎we provide some conditions under which the invariant distributions and the slant distributions are integrable‎.