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

A. Sharma; S. K. Srivastava

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arXiv · 1805.04467

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

A. Sharma·S. K. Srivastava

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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 $\bar{M}$.

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A. Sharma, S. K. Srivastava. 2018-05-09. On the Generalized Class of $\mathcal{P}\mathcal{R}$-warped product submanifolds in para-K\"{a}hler Manifolds. https://arxiv.org/abs/1805.04467

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