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Journals / International Electronic Journal of Geometry / 2021 / Cilt: 14 - Sayı: 2

On a Type of Semi-Symmetric Non-Metric Connection in HSU-Unified Structure Manifold

SHIVANI SUNDRIYAL
JAYA UPRETI
Pages
383–390
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

Some new results on such manifolds have been obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, we have studied some properties of a semi-symmetric non-metric connection in HSU-unified structure manifold and HSU-Kahler manifold.
📊
Key Findings & Data:In the present paper, we have studied some properties of a semi-symmetric non-metric connection in HSU-unified structure manifold and HSU-Kahler manifold.
💡
Conclusion & Impact:Some new results on such manifolds have been obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Semi-symmetric non-metric connection · Levi-Civita connection · HSU-unified structure manifold

Abstract

In the present paper, we have studied some properties of a semi-symmetric non-metric connection in HSU-unified structure manifold and HSU-Kahler manifold. Some new results on such manifolds have been obtained.

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Cite This Article

SUNDRIYAL, S., UPRETI, J. (2022). On a Type of Semi-Symmetric Non-Metric Connection in HSU-Unified Structure Manifold. International Electronic Journal of Geometry, Cilt: 14 - Sayı: 2, 383–390. https://ajindex.com/articles/539567

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References (13)

  1. Agashe, N.S.: A semi-symmetric non-metric connection on a Riemannian manifold. Indian J. pure appl. Math. 23, 399-409 (1992)
  2. Andonie, OC., Smaranda, D.: Certaines connexions semisymetriques. Tensor. 31, 8-12 (1977)
  3. Chaubey, S. K., Ojha, R.H.: On a semi-symmetric non-metric and quarter symmetric metric connexions. Tensor N.S. 70 (2), 202-203 (2008)
  4. Chaubey, S. K., Ojha, R.H.: On a semi-symmetric non-metric connection. Filomat. 26 (2), 269-275 (2012)
  5. Chaubey, S. K., Yildiz, A.: Riemannian manifolds admitting a new type of semisymmetric nonmetric connection. Turkish Journal of Mathematics. 43 (4), 1887-1904 (2019)
  6. Hyden, A.: Sub-Spaces of a Space with Torsion. Proceedings of London Mathematical Society. 2 (1), 27-50 (1932)
  7. Kobayashi, S., Nomizu, K.: Foundation of differential geometry, Vol. I and II. Interscience Publisher, London (1969)
  8. Kumar, S., Kandpal, D., Upreti, J.: On a HSU-unified Structure Manifold with a Recurrent Metric Connection. Journal of Computer and Mathematical Sciences. 8 (8), 366-372 (2017)
  9. Kumar, S., Upreti, J.: A new connection in an almost para-contact manifold. Journal of National Academy of Mathematics, Gorakhpur. 28, 42-52 (2014)
  10. MIshra, R.S.: Structures on a differentiable manifold and their applications. Chandrama Prakashan, 50-A Balrampur Hause, Allahabad, India (1984)
  11. Nivas, R., Agnihotri, A.: On HSU-unified Structure Manifold with a Quarter-symmetric Non-metric Connection. Bulletin of Mathematical Sciences and Applications. 3, 63-70 (2013)
  12. Sengupta, J., De, U.C, Binh, T.: On a type of semi-symmetric non-metric connection on a Riemannian manifold. Indian Journal of Pure and Applied Mathematics. 31 (12) 1659-1670 (2000)
  13. Yano, K.: On semi-symmetric metric connections. Revue Roumaine de Mathematiques Pures et Appliquees. 15 1579-1586 (1970).