The Investigation of Some Tensor Conditions for α-Kenmotsu Pseudo-Metric Structures

Year 2022, Volume: 22 Issue: 6, 1314 - 1322, 28.12.2022

Hakan Öztürk

https://doi.org/10.35414/akufemubid.1169777

Cited By: 1

Abstract

This paper aims to study some semi-symmetric and curvature tensor conditions on α-Kenmotsu pseudo-metric manifolds. Some conditions of semi-symmetric, locally symmetric, and the Ricci semi-symmetric are considered on such manifolds. Also, the relationships between the M-projective curvature tensor and conformal curvature tensor, concircularly curvature tensor, and conharmonic curvature tensor are investigated. Finally, an example of α-Kenmotsu pseudo-metric structure is given.

Keywords

α-Kenmotsu manifold, Pseudo metric, Conharmonic curvature tensor, M-projective curvature tensor

Thanks

The author would like to thank the anonymous referee for the useful improvements suggested.

Bazı Tensör Koşullarının α-Kenmotsu Pseudo-Metrik Yapılar İçin İncelenmesi

Abstract

Bu makale α-Kenmotsu pseudo-metrik manifoldlar üzerinde bazı yarı simetrik ve eğrilik tensör şartlarını çalışmayı amaçlamaktadır. Bazı yarı-simetrik, lokal simetrik ve Ricci yarı-simetrik şartlar bu tür manifoldlar için göz önüne alınmıştır. Ayrıca, M-projektif eğrilik tensörü ile konformal eğrilik tensörü, konsirküler eğrilik tensörü ve konharmonik eğrilik tensörü arasındaki ilişkiler araştırılmıştır. Makale açıklayıcı bir α-Kenmotsu pseudo-metrik manifold örneği ile sonlandırılmıştır.

Keywords

α-Kenmotsu manifold, Pseudo metriği, Konharmonik eğrilik tensörü, M-projektif eğrilik tensörü

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