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Year 2021, Volume: 14 Issue: 2, 383 - 390, 29.10.2021
https://doi.org/10.36890/iejg.980796

Abstract

References

  • [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).

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

Year 2021, Volume: 14 Issue: 2, 383 - 390, 29.10.2021
https://doi.org/10.36890/iejg.980796

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.

References

  • [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).
There are 13 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Shivani Sundriyal 0000-0001-6195-2572

Jaya Upreti 0000-0001-8615-1819

Publication Date October 29, 2021
Acceptance Date August 15, 2021
Published in Issue Year 2021 Volume: 14 Issue: 2

Cite

APA Sundriyal, S., & Upreti, J. (2021). On a Type of Semi-Symmetric Non-Metric Connection in HSU-Unified Structure Manifold. International Electronic Journal of Geometry, 14(2), 383-390. https://doi.org/10.36890/iejg.980796
AMA Sundriyal S, Upreti J. On a Type of Semi-Symmetric Non-Metric Connection in HSU-Unified Structure Manifold. Int. Electron. J. Geom. October 2021;14(2):383-390. doi:10.36890/iejg.980796
Chicago Sundriyal, Shivani, and Jaya Upreti. “On a Type of Semi-Symmetric Non-Metric Connection in HSU-Unified Structure Manifold”. International Electronic Journal of Geometry 14, no. 2 (October 2021): 383-90. https://doi.org/10.36890/iejg.980796.
EndNote Sundriyal S, Upreti J (October 1, 2021) On a Type of Semi-Symmetric Non-Metric Connection in HSU-Unified Structure Manifold. International Electronic Journal of Geometry 14 2 383–390.
IEEE S. Sundriyal and J. Upreti, “On a Type of Semi-Symmetric Non-Metric Connection in HSU-Unified Structure Manifold”, Int. Electron. J. Geom., vol. 14, no. 2, pp. 383–390, 2021, doi: 10.36890/iejg.980796.
ISNAD Sundriyal, Shivani - Upreti, Jaya. “On a Type of Semi-Symmetric Non-Metric Connection in HSU-Unified Structure Manifold”. International Electronic Journal of Geometry 14/2 (October 2021), 383-390. https://doi.org/10.36890/iejg.980796.
JAMA Sundriyal S, Upreti J. On a Type of Semi-Symmetric Non-Metric Connection in HSU-Unified Structure Manifold. Int. Electron. J. Geom. 2021;14:383–390.
MLA Sundriyal, Shivani and Jaya Upreti. “On a Type of Semi-Symmetric Non-Metric Connection in HSU-Unified Structure Manifold”. International Electronic Journal of Geometry, vol. 14, no. 2, 2021, pp. 383-90, doi:10.36890/iejg.980796.
Vancouver Sundriyal S, Upreti J. On a Type of Semi-Symmetric Non-Metric Connection in HSU-Unified Structure Manifold. Int. Electron. J. Geom. 2021;14(2):383-90.