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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 71 Issue: 3

α-Sasakian, β-Kenmotsu and trans-Sasakian structures on the tangent bundle

Haşim Çayır(Giresun University)0000-0003-0348-8665
Tarana Sultanova(BAKU STATE UNIVERSITY)0000-0003-2936-7837
Sayfa
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Yayın Tarihi
2022-09-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In the second part, these structures were expressed on the tangent bundle with the help of lifts and the most general forms were tried to be obtained.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper consists of two main sections.
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Temel Bulgular & Veri:In the first part, we give some general information about the almost contact manifold, α−Sasakian, β−Kenmotsu and trans-Sasakian Structures on the manifolds.
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Sonuç & Katkı:In the second part, these structures were expressed on the tangent bundle with the help of lifts and the most general forms were tried to be obtained.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$\alpha$-Sasakian · $\beta$-Kenmotsu · trans-Sasakian structures

Abstract

This paper consists of two main sections. In the first part, we give some general information about the almost contact manifold, α−Sasakian, β−Kenmotsu and trans-Sasakian Structures on the manifolds. In the second part, these structures were expressed on the tangent bundle with the help of lifts and the most general forms were tried to be obtained.

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Bu Makaleye Atıf Yap

Çayır, H., Sultanova, T. (2022). α-Sasakian, β-Kenmotsu and trans-Sasakian structures on the tangent bundle. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 3. https://doi.org/10.31801/cfsuasmas.1010695

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Kaynakça (12)

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  9. Oubina, J.A., New classes of almost contact metric structures, Publicationes Mathematicae Debrecen, 32 (1985), 187-193.
  10. Omran, T., Sharffuddin, A., Husain, S.I., Lift of structures on manifolds, Publications de 1’Instıtut Mathematıqe, Nouvelle serie, 360(50) (1984), 93–97.
  11. Tanno, S., The automorphism groups of almost contact Riemannian manifolds, Tohoku Math. J., 21 (1969), 21-38.
  12. Yano, K., Ishihara, S., Tangent and Cotangent Bundles, Marcel Dekker Inc., New York, 1973