Concircular Curvature Tensor of Para-Kenmotsu Manifolds admitting Quarter-Symmetric Metric Connection

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Published: 2025-12-15
Keywords:
Para-Kenmotsu manifold, Concircular curvature tensor, Quarter-symmetric metric connection

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Giteshwari Pandey
Sandeep Kumar Mishra
Shravan Kumar Pandey
R. N. Singh

Abstract

In this article, we analyze para-Kenmotsu manifolds endowed with a quarter-symmetric metric connection, emphasizing their geometric and curvature characteristics. We investigated quasi-concircularly flat and -concircularly flat para-Kenmotsu manifolds concerning the quarter-symmetric metric connection. It was established that a -concircularly flat para-Kenmotsu manifold is an -Einstein manifold. Additionally, we derived conditions for para-Kenmotsu manifolds satisfying  under the influence of the quarter-symmetric metric connection  and proved several significant results.

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Vol. 29 No. 4 (2025): Table of Content

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Author Biographies

Giteshwari Pandey

Department of Mathematics, Govt. Model Science College(PMCoE), Rewa (M.P.), 486001, India

Assistant Professor

Sandeep Kumar Mishra

Department of Mathematical Sciences, Awadhesh Pratap Singh University, Rewa (M.P.), 486003, India.

Shravan Kumar Pandey

Department of Mathematical Sciences, Awadhesh Pratap Singh University, Rewa (M.P.), 486003, India.

Assistant Professor

R. N. Singh

Department of Mathematical Sciences, Awadhesh Pratap Singh University, Rewa (M.P.) 486003, India.

Emeritus Professor and Head

How to Cite

1.
Concircular Curvature Tensor of Para-Kenmotsu Manifolds admitting Quarter-Symmetric Metric Connection. J. Int. Acad. Phys. Sci. [Internet]. 2025 Dec. 15 [cited 2026 Oct. 23];29(4):173-84. Available from: http://www.iaps.org.in/journal/index.php/journaliaps/article/view/1033

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