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Journals / Journal of Engineering Technology and Applied Sciences / 2026 / Cilt: 6 Sayı: 1

Riemannian Submersions with Quarter- Symmetric Non-Metric Connection

Hakan Demir(HITIT UNIVERSITY)0000-0003-2402-339X
Ramazan Sarı(AMASYA ÜNİVERSİTESİ)0000-0002-4618-8243
Pages
1–8
Publication Date
2021-04-30
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AI Summary & Key Takeaways

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

We obtain derivatives of those tensor fields and compare curvatures of the total manifold, the base manifold, and the fibers by computing curvatures.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study Riemannian submersions from a Riemannian manifold endowed with a quarter-symmetric non-metric connection onto a Riemannian manifold.
📊
Key Findings & Data:We investigate O’Neill’s tensor fields for quarter-symmetric non-metric connection and derive the covariant derivative of O’Neill’s tensor fields.
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Conclusion & Impact:We obtain derivatives of those tensor fields and compare curvatures of the total manifold, the base manifold, and the fibers by computing curvatures.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Riemannian submersion · quarter symmetric connection · O'Neill tensors

Abstract

In this paper, we study Riemannian submersions from a Riemannian manifold endowed with a quarter-symmetric non-metric connection onto a Riemannian manifold. We investigate O’Neill’s tensor fields for quarter-symmetric non-metric connection and derive the covariant derivative of O’Neill’s tensor fields. We obtain derivatives of those tensor fields and compare curvatures of the total manifold, the base manifold, and the fibers by computing curvatures.

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Cite This Article

Demir, H., Sarı, R. (2021). Riemannian Submersions with Quarter- Symmetric Non-Metric Connection. Journal of Engineering Technology and Applied Sciences, Cilt: 6 Sayı: 1, 1–8. https://doi.org/10.30931/jetas.910481

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References (23)

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  16. Hayden, H.A., “Subspaces of a space with torsion”, Proc. London Math. Soc. 34(1) (1932): 27-50.
  17. Ayar, G., Demirhan, D., “Ricci solition on nearly Kenmotsu manifolds with semi-symmetric metric connection”, Journal of Engineering Technology and Applied Sciences 4(3) (2019): 131- 140.
  18. Altın, M., “Projective Curvature N(k) Contact metric manifold admitting semi-symetric non-metric connection”, Fundamental Journal of Mathematics and Applications 3(2) (2020): 94-100.
  19. Chaubey, S. K., Ojha, R.H., “On semi-symmetric non-metric and quarter symmetric metric connections”, Tensor N. S. 70(2) (2008): 202-213.
  20. Rastogi, S. C., “On quarter-symmetric metric connection”, C. R. Acad. Bulg. Sci. 31(8) (1978): 811-814.
  21. Sarı,R. Akyol,M.A. Aksoy,E., “Some curvature properties of an S-manifold with a quarter symmetric non metric connection”, International Journal of Applied Mathematics and Statistic 56(3) (2017): 93-102.
  22. Gray, A., “Pseudo Riemannian almost product manifold and submersions”, J. Math Metch. 16 (1967): 715-737.
  23. Akyol M.A., Beyendi S., “Riemannian submersions endowed with a semi-symmetric nonmetric connection”, Konuralp Journal of Mathematics 6(1) (2018): 188-193.