SavedAdd your journal

Journals / 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
Pages
—
Publication Date
2022-09-30
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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 Key Takeaways

🎯
Objective & Hypothesis:This paper consists of two main sections.
📊
Key Findings & Data: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.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$\alpha$-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.

🔖

Cite This Article

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

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (12)

  1. Blair, D. E., Contact Manifolds in Riemannian Geometry, Lecture Notes in Mathematics 509, Springer, 1976.
  2. Capursi, M., Some remarks on the product of two almost contact manifolds, An. Sti. Univ. Al. I. Cuza XXX, (1984), 75-79.
  3. Das Lovejoy, S., Fiberings on almost r-contact manifolds, Publicationes Mathematicae, 43 (1993), 161-167. DOI: 10.5486/PMD.1993.1258
  4. Gray, A., Hervella, L. M., The sixteen classes of almost Hermitian manifolds and their linear invariant, Ann. Math. Pura Appl., 4(123) (1980), 35-58. https://doi.org/10.1007/BF01796539
  5. Ianus, S., Smaranda, D., Some remarkable structures on the product of an almost contact metric manifold with the real line, Papers from the National Colloquium on Geometry and Topology, Univ. Timisoara, (1977), 107-110.
  6. Janssesns, D., Vanhecke, L., Almost contact structures and curvature tensors, Kodai Math. J., 4 (1981), 1-27.
  7. Kenmotsu, K., A class of almost contact Riemannian manifolds, Tohoku Math. J., 24 (1972), 93-103.
  8. Morimoto, A., On normal almost contact structures, J. Math. Soc. Japan, 15 (1963), 420-436.
  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