Semiconformal Curvature Tensor on $(\kappa,\mu)$-Paracontact Metric Manifolds

Ümit Yıldırım; Mustafa Arslan

doi:10.53570/jnt.1647686

EN

Semiconformal Curvature Tensor on $(\kappa,\mu)$-Paracontact Metric Manifolds

Abstract

This paper investigates several properties of the semiconformal curvature tensor on a $(\kappa,\mu)$-paracontact metric manifold. It first examines the results arising when such a manifold is both semiconformal and semisymmetric. Based on these findings, this study provides characterizations of the manifold. It then explores the derivative interactions between various curvature tensors and the semiconformal curvature tensor. According to the results, the present paper establishes the conditions under which a $(\kappa,\mu)$-paracontact metric manifold reduces to a $(\kappa, \mu)$-paracontact metric manifold.

Keywords

Semiconformal curvature tensor, $(\kappa,\mu)$-paracontact metrric manifolds, semisymmetric

References

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Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Authors

Ümit Yıldırım ^*
0000-0002-7178-4223
Türkiye

Mustafa Arslan
0009-0008-6907-256X
Türkiye

Early Pub Date

June 30, 2025

Publication Date

June 30, 2025

Submission Date

February 26, 2025

Acceptance Date

May 18, 2025

Published in Issue

Year 2025 Number: 51

DOI

https://doi.org/10.53570/jnt.1647686

IZ

https://izlik.org/JA82LF22HL

APA

Yıldırım, Ü., & Arslan, M. (2025). Semiconformal Curvature Tensor on $(\kappa,\mu)$-Paracontact Metric Manifolds. Journal of New Theory, 51, 1-9. https://doi.org/10.53570/jnt.1647686

AMA

1.Yıldırım Ü, Arslan M. Semiconformal Curvature Tensor on $(\kappa,\mu)$-Paracontact Metric Manifolds. JNT. 2025;(51):1-9. doi:10.53570/jnt.1647686

Chicago

Yıldırım, Ümit, and Mustafa Arslan. 2025. “Semiconformal Curvature Tensor on $(\kappa,\mu)$-Paracontact Metric Manifolds”. Journal of New Theory, nos. 51: 1-9. https://doi.org/10.53570/jnt.1647686.

EndNote

Yıldırım Ü, Arslan M (June 1, 2025) Semiconformal Curvature Tensor on $(\kappa,\mu)$-Paracontact Metric Manifolds. Journal of New Theory 51 1–9.

IEEE

[1]Ü. Yıldırım and M. Arslan, “Semiconformal Curvature Tensor on $(\kappa,\mu)$-Paracontact Metric Manifolds”, JNT, no. 51, pp. 1–9, June 2025, doi: 10.53570/jnt.1647686.

ISNAD

Yıldırım, Ümit - Arslan, Mustafa. “Semiconformal Curvature Tensor on $(\kappa,\mu)$-Paracontact Metric Manifolds”. Journal of New Theory. 51 (June 1, 2025): 1-9. https://doi.org/10.53570/jnt.1647686.

JAMA

1.Yıldırım Ü, Arslan M. Semiconformal Curvature Tensor on $(\kappa,\mu)$-Paracontact Metric Manifolds. JNT. 2025;:1–9.

MLA

Yıldırım, Ümit, and Mustafa Arslan. “Semiconformal Curvature Tensor on $(\kappa,\mu)$-Paracontact Metric Manifolds”. Journal of New Theory, no. 51, June 2025, pp. 1-9, doi:10.53570/jnt.1647686.

Vancouver

1.Ümit Yıldırım, Mustafa Arslan. Semiconformal Curvature Tensor on $(\kappa,\mu)$-Paracontact Metric Manifolds. JNT. 2025 Jun. 1;(51):1-9. doi:10.53570/jnt.1647686