Recurrent and 2-recurrent anti-invariant sub-manifolds of trans-Sasakian manifolds

چکیده مقاله

‎In this paper‎, ‎we consider the anti-invariant submanifolds of trans-Sasakian manifolds and prove that trans-Sasakian manifolds which have non-trivial anti-invariant submanifolds are $\beta$-Kenmotsu‎. ‎We also show that recurrent and $2$-recurrent anti-invariant submanifolds of trans-Sasakian manifolds are totally geodesic‎.