Pointwise slant submanifolds and their warped products in Sasakian manifolds

Abstract

In \cite{Al, U1}, we have seen that there do not exist warped product submanifolds of a Sasakian manifold when the spherical manifold of the warped product is slant. Recently, B.-Y. Chen and O.J. Garay studied pointwise slant submanifolds of almost Hermitian manifolds. In this paper, first we study pointwise slant and pointwise pseudo-slant submanifolds of almost contact metric manifolds and then using this notion, we show that there exist a non-trivial class of warped product pointwise pseudo-slant submanifolds of Sasakian manifolds by giving some useful results, including a characterization.