Year 2021,
Volume: 14 Issue: 2, 383 - 390, 29.10.2021
Shivani Sundriyal
,
Jaya Upreti
References
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- [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).
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43 (4), 1887-1904 (2019).
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- [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
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- [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).
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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
Shivani Sundriyal
,
Jaya Upreti
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).