On the Generalized Class of $\mathcal{P}\mathcal{R}$-warped product submanifolds in para-K\"{a}hler Manifolds

TL;DR

This paper introduces a new class of warped product submanifolds called $\

Contribution

It defines $\

Findings

Existence and non-existence results for $\

paper_type":"theoretical"}}# Answer: {

tldr

Abstract

In this paper, we study a new generalized class of $\mathcal{P}\mathcal{R}$-warped product submanifolds under the name $\mathcal{P}\mathcal{R}$-pseudo-slant warped product submanifolds in para-K\"{a}hler manifolds $\bar{M}$. The results of existence and non-existence for $\mathcal{P}\mathcal{R}$-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 $\bar{M}$.