Geometry of warped product pointwise semi-slant submanifolds in nearly para-Kaehler manifold

Abstract

In this article, firstly we introduce pointwise slant and pointwise semi-slant submanifolds in nearly para-Kaehler manifolds. We demonstrate that there exist pointwise semi-slant non-trivial warped product submanifold $ \mathcal{ M}^T \times_k \mathcal{ M}^{\theta} $ in nearly para-Kaehler manifolds by giving an example. We get a characterization, give certain theorems depending on the casual characters and we reach an optimal inequality.