Volume 72 | Issue 2 | Year 2026 | Article Id. IJMTT-V72I2P106 | DOI : https://doi.org/10.14445/22315373/IJMTT-V72I2P106
Concircular Curvature Tensor on N(k)-Contact Metric Manifolds with Respect to Semi-Symmetric Non-Metric Connection
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 19 Dec 2025 | 24 Jan 2026 | 13 Feb 2026 | 28 Feb 2026 |
Gajendra Nath Tripathi, "Concircular Curvature Tensor on N(k)-Contact Metric Manifolds with Respect to Semi-Symmetric Non-Metric Connection," International Journal of Mathematics Trends and Technology (IJMTT), vol. 72, no. 2, pp. 39-45, 2026. Crossref, https://doi.org/10.14445/22315373/IJMTT-V72I2P106
[1] Kentaro Yano, “Concircular Geometry
I. Concircular Transformations,” Proceedings of the Imperial Academy, vol. 16, no.
6, pp. 195-200, 1940.
[CrossRef] [Google Scholar] [Publisher Link]
[2] Wolfgang Ku¨hnel, “Conformal
Transformations between Einstein Spaces,” Conformal
Geometry, pp. 105-146, 1988.
[CrossRef] [Google Scholar] [Publisher Link]
[3] Ajit
Barman, “On N(k)-Contact Metric Manifolds Admitting a Type of Semi-Symmetric
Non-Metric Connection,” Acta Mathematica Universitatis Comenianae,
vol. 86, no. 1, pp. 81-90, 2017.
[Google Scholar] [Publisher Link]
[4] Shukichi Tanno, “Ricci
Curvatures of Contact Riemannian Manifolds,” Tohoku Mathematical Journal, vol. 40,
no. 3, pp. 441-448, 1988.
[CrossRef] [Google Scholar] [Publisher Link]
[5] Pradip
Majhi, and U.C. De, “Classifications
of N(k)-Contact Metric Manifolds Satisfying Certain Curvature Conditions,” Acta
Mathematica Universitatis Comenianae, vol. 84, no. 1, pp. 167-178, 2015.
[Google Scholar] [Publisher Link]
[6] Cihan
Özgür, and Sibel Sular, “On
N(k)-Contact Metric Manifolds Satisfying Certain Conditions,” SUT
Journal of Mathematics, vol. 44, no. 1, pp. 89-99, 2008.
[CrossRef] [Google Scholar] [Publisher Link]
[7] Sujit
Ghosh, U.C. De, and A. Taleshian, “Conharmonic
Curvature Tensor on N(K) - Contact Metric Manifolds,” International Scholarly
Research Notices, vol. 2011, no. 1, pp. 1-11, 2011.
[CrossRef] [Google Scholar] [Publisher Link]
[8] David
E. Blair, Themis Koufogiorgos, and Basil J. Papantoniou,
“Contact Metric Manifolds
Satisfying A Nullity Condition,” Israel Journal of Mathematics, vol. 91, no. 1, pp. 189-214, 1995.
[CrossRef] [Google Scholar] [Publisher Link]
[9] David E. Blair, “On the Space
of Riemannian Metrics
on Surfaces and Contact Manifolds,” Geometry and Differential Geometry, pp. 203-212, 2006.
[CrossRef] [Google Scholar] [Publisher Link]
[10] David E Blair,
Riemannian Geometry of Contact
and Symplectic Manifolds, 2010.
[CrossRef] [Google Scholar] [Publisher Link]
[11] Uday
Chand De and Abdul Kalam Gazi. “On φ-Recurrent
N(k)-Contact Metric Manifolds,” Mathematical Journal of Okayama University,
vol. 50, no. 2008, pp. 101-112, 2008.
[Google Scholar] [Publisher Link]
[12] H.A.
Hayden, “Sub-Spaces of a Space with Torsion,” Proceedings of the London Mathematical Society, vol. 2, no. 1, pp.
27-50, 1932.
[CrossRef] [Google Scholar] [Publisher Link]
[13] M Prvanovic, “On Pseudo Metric Semi-Symmetric Connections,” Publications De L’Institut
Mathematique, Nouvelle series, vol. 18, no. 32, 157-164, 1975.
[Google Scholar] [Publisher Link]
[14] O.C. Andonie,
“On Semi-Symmetric Non-Metric
Connection on a Riemannian Manifold,”
Annals of the
Faculty of Sciences. Mathematics-Physics Section, vol. 2, 1976.
[Google Scholar]
[15] Nirmala
S. Agashe. “A Semi-Symmetric Non-Metric Connection on a Riemannian Manifold,” Indian
Journal of Pure and Applied Mathematics, vol. 23, pp. 399-409, 1992.
[Google Scholar]
[16] Yixing
Liang, “On Semi-Symmetric Recurrent-Metric Connection,” Tensor, vol. 55, no. 2, pp. 107-112, 1994.
[Google Scholar]
[17] U.C. De, and D. Kamilya. “Hypersurfaces of a Riemannian Manifold
With Semi Symmetric Non-Metric Connection,” Journal of the Indian Institute
of Science, vol. 75,
no. 6, pp. 707, 1995.
[Google Scholar] [Publisher Link]
[18] Ajit
Barman, “A Special Type of
Quarter-Symmetric Non-Metric Connection on P-Sasakian Manifolds,” Bulletin
of the Transilvania University of Brasov, Series III: Mathematics and Computer Science, pp. 11-22, 2018.
[Google Scholar] [Publisher Link]
[19] Ajit Barman. “A Type of Semi-Symmetric Non-Metric
Connection on Non-Degenerate Hypersurfaces of Semi-Riemannian Manifolds,” Facta
Universitatis, Series: Mathematics and Informatics,
vol. 29, no. 1, pp. 13-23, 2014.
[Google Scholar] [Publisher Link]
[20] Ajit Barman,
and U.C. De, “Semi-Symmetric
Non-Metric Connections on Kenmotsu Manifolds,”
Romanian Journal of Mathematics
and Computer Science, vol. 5, pp. 13-24, 2014.
[Google Scholar]
[21] U.C. De, and S. C. Biswas, “On a Type of Semi-Symmetric Non-Metric
Connection on a Reimannian Manifold,” Istanbul University Science Faculty the Journal of Mathematics Physics
and Astronomy, vol. 53,
pp. 37-41, 1996.
[Google Scholar] [Publisher Link]
[22] K. Arslan, C. Murathan, and
Cozgur, “On
[Google Scholar]
[23] Ryszard Deszcz, and Marian Hotlos, “On Some Pseudosymmetry Type Curvature Condition,”
Tsukuba Journal of Mathematics, pp. 13-30, 2003.
[Google Scholar]