Certain Classes of Warped Product Submanifolds of Sasakian Manifolds

Abstract

In Chen and Garay (Turk J Math 36:630–640, 2012) studied pointwise-slant submanifolds of almost Hermitian manifolds. They have obtained many fundamental results, in particular, a characterization of these submanifolds. Later, Park (Pointwise slant and pointwise semi slant submanifolds almost contact metric manifold, 2020) has extended the study for almost contact metric manifolds. In the present article, we have studied warped product submanifold of Sasakian manifolds \(\bar{M}\). We have considered the warped product submanifold of the form \(M=M_5\times _f M_{\theta _3}\) where \(M_5=M_{\theta _1}\times M_{\theta _2}\) and \(M_{\theta _1}\), \(M_{\theta _2}\) and \(M_{\theta _3}\) are pointwise-slant submanifolds of \(\bar{M}\). Here, we have obtained a characterization theorem of this class of warped product submanifold.