Pointwise Bi-Slant Doubly Warped Product Submanifolds in Para-Kaehler Manifolds

Abstract

In this article, we consider pointwise slant and pointwise bi-slant submanifolds whose ambient spaces are para-Kaehler manifolds. We prove that there exist pointwise bi-slant K =_k2 K^θ1×_k1 K^θ2 non-trivial doubly warped product type 1-2 submanifolds whose ambient spaces are para-Kaehler manifolds by constructing examples. We get a characterization and some theorems. Then, we obtain an inequality and we get some results by using the inequality.