On the Generalized Class of $\mathcal{PR}$-warped product submanifolds in para-Kähler Manifolds

Abstract

In this paper, we study a new generalized class of $\mathcal{PR}$-warped product submanifolds under the name $\mathcal{PR}$-pseudo-slant warped product submanifolds in para-Kähler manifolds $\bar{M}$. The results of existence and non-existence for $\mathcal{PR}$-pseudo-slant warped product submanifolds with proper slant factor in $\bar{M}$ are shown. In addition to these results, we give an elementary illustration of such warped product submanifold in $\bar{M}$.

The definition is not appropriate and also there are some calculations errors in theorems