A study of \varphi-Ricci symmetric LP-Kenmotsu manifolds

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Keywords:

Einstein manifold;, \varphi-Ricci symmetric manifolds, LP-Kenmotsu manifolds, scalar curvature, Ricci tensor

Abstract

In the current article we characterize $\varphi$-Ricci symmetric (\varphi-RS) and weakly \varphi-Ricci symmetric (weakly \varphi-RS) LP-Kenmotsu m-manifolds ((LP-K)_m).  We also examine the characteristic of an (LP-K)_{3} of scalar curvature 6.  Moreover, we study (LP-K)_{m} admitting \eta-parallel Ricci tensor. At last, we construct an example of \varphi-RS (LP-K)_{3} to verify some of our results.

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Published

2024-03-15

How to Cite

Prasad, R., Haseeb, A., Verma, A., & Yadav, V. S. (2024). A study of \varphi-Ricci symmetric LP-Kenmotsu manifolds. International Journal of Maps in Mathematics, 7(1), 33–44. Retrieved from https://simadp.com/journalmim/article/view/7-1-3