Tbilisi Mathematical Journal

Certain results on para-Kenmotsu manifolds equipped with $M$-projective curvature tensor

Abhishek Singh and Shyam Kishor

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Abstract

The purpose of the article is to study the certain results on para-Kenmotsu manifolds equipped with $M$-projective curvature tensor. Here we investigate para-Kenmotsu manifolds satisfying some curvature conditions $\widetilde{M}\cdot R=0,$ $\widetilde{M}\cdot Q=0$ and $Q\cdot \widetilde{M}=0,$ where $R$, $Q$ and $\widetilde{M}$ respectively denote the Riemannian curvature tensor, Ricci operator and $M$-projective curvature tensor.

Article information

Source
Tbilisi Math. J., Volume 11, Issue 3 (2018), 125-132.

Dates
Received: 8 April 2018
Accepted: 2 May 2018
First available in Project Euclid: 3 October 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1538532031

Digital Object Identifier
doi:10.32513/tbilisi/1538532031

Mathematical Reviews number (MathSciNet)
MR3954199

Subjects
Primary: 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
Secondary: 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.) 53C26: Hyper-Kähler and quaternionic Kähler geometry, "special" geometry

Keywords
para-Kenmotsu manifold Ricci operator Riemannian curvature tensor Riemannian manifold

Citation

Singh, Abhishek; Kishor, Shyam. Certain results on para-Kenmotsu manifolds equipped with $M$-projective curvature tensor. Tbilisi Math. J. 11 (2018), no. 3, 125--132. doi:10.32513/tbilisi/1538532031. https://projecteuclid.org/euclid.tbilisi/1538532031


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