Research Article
BibTex RIS Cite
Year 2021, , 1 - 8, 30.04.2021
https://doi.org/10.30931/jetas.910481

Abstract

References

  • [1] Friedmann, A., Schouten, J.A., “Über die Geometrie der halbsymmetrischen Ü bertragung”, Math. Zeitschr. 21 (1924) : 211-223.
  • [2] Hayden, H.A., “Subspaces of a space with torsion”, Proc. London Math. Soc. 34(1) (1932) : 27-50.
  • [3] Yano,K., “On semi symmetric metric connection”, Rev. Roumaine Math. Pures Appl.15 (1970), 1579-1586.
  • [4] 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.
  • [5] 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.
  • [6] Chaubey, S. K., Ojha, R.H., “On semi-symmetric non-metric and quarter symmetric metric connections”, Tensor N. S. 70(2) (2008) : 202-213.
  • [7] Golab, S., “On semi- symmetric metric and quarter symmetric linear connections”, Tensor 29, (1975), 249-254.
  • [8] Dubey, A. K. Ojha, R. H. and Chaubey, S. K., “Some properties of quarter symmetric non-metric connection in a Kahler manifold”, Int. J. Contemp. Math.Sciences, 5(20), (2010), 1001-1007.
  • [9] Mishra, R. S. and Pandey, S. N., “On quarter symmetric metric F-connections”, Tensor N. S., 34, (1980), 1-7.
  • [10] Rastogi, S. C., “On quarter-symmetric metric connection”, C. R. Acad. Bulg. Sci. 31(8) (1978) : 811-814.
  • [11] 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.
  • [12] O’Neill, B., “The fundamental equations of a submersion”, Michigan Math. J., 13, (1966), 459-469.
  • [13] Gray, A., “Pseudo Riemannian almost product manifold and submersions”, J. Math Metch. 16 (1967) : 715-737.
  • [14] Akyol M.A., Beyendi S., “Riemannian submersions endowed with a semi-symmetric nonmetric connection”, Konuralp Journal of Mathematics 6(1) (2018) : 188-193.

Riemannian Submersions with Quarter- Symmetric Non-Metric Connection

Year 2021, , 1 - 8, 30.04.2021
https://doi.org/10.30931/jetas.910481

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.

References

  • [1] Friedmann, A., Schouten, J.A., “Über die Geometrie der halbsymmetrischen Ü bertragung”, Math. Zeitschr. 21 (1924) : 211-223.
  • [2] Hayden, H.A., “Subspaces of a space with torsion”, Proc. London Math. Soc. 34(1) (1932) : 27-50.
  • [3] Yano,K., “On semi symmetric metric connection”, Rev. Roumaine Math. Pures Appl.15 (1970), 1579-1586.
  • [4] 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.
  • [5] 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.
  • [6] Chaubey, S. K., Ojha, R.H., “On semi-symmetric non-metric and quarter symmetric metric connections”, Tensor N. S. 70(2) (2008) : 202-213.
  • [7] Golab, S., “On semi- symmetric metric and quarter symmetric linear connections”, Tensor 29, (1975), 249-254.
  • [8] Dubey, A. K. Ojha, R. H. and Chaubey, S. K., “Some properties of quarter symmetric non-metric connection in a Kahler manifold”, Int. J. Contemp. Math.Sciences, 5(20), (2010), 1001-1007.
  • [9] Mishra, R. S. and Pandey, S. N., “On quarter symmetric metric F-connections”, Tensor N. S., 34, (1980), 1-7.
  • [10] Rastogi, S. C., “On quarter-symmetric metric connection”, C. R. Acad. Bulg. Sci. 31(8) (1978) : 811-814.
  • [11] 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.
  • [12] O’Neill, B., “The fundamental equations of a submersion”, Michigan Math. J., 13, (1966), 459-469.
  • [13] Gray, A., “Pseudo Riemannian almost product manifold and submersions”, J. Math Metch. 16 (1967) : 715-737.
  • [14] Akyol M.A., Beyendi S., “Riemannian submersions endowed with a semi-symmetric nonmetric connection”, Konuralp Journal of Mathematics 6(1) (2018) : 188-193.
There are 14 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Hakan Demir This is me 0000-0003-2402-339X

Ramazan Sarı 0000-0002-4618-8243

Publication Date April 30, 2021
Published in Issue Year 2021

Cite

APA Demir, H., & Sarı, R. (2021). Riemannian Submersions with Quarter- Symmetric Non-Metric Connection. Journal of Engineering Technology and Applied Sciences, 6(1), 1-8. https://doi.org/10.30931/jetas.910481
AMA Demir H, Sarı R. Riemannian Submersions with Quarter- Symmetric Non-Metric Connection. JETAS. April 2021;6(1):1-8. doi:10.30931/jetas.910481
Chicago Demir, Hakan, and Ramazan Sarı. “Riemannian Submersions With Quarter- Symmetric Non-Metric Connection”. Journal of Engineering Technology and Applied Sciences 6, no. 1 (April 2021): 1-8. https://doi.org/10.30931/jetas.910481.
EndNote Demir H, Sarı R (April 1, 2021) Riemannian Submersions with Quarter- Symmetric Non-Metric Connection. Journal of Engineering Technology and Applied Sciences 6 1 1–8.
IEEE H. Demir and R. Sarı, “Riemannian Submersions with Quarter- Symmetric Non-Metric Connection”, JETAS, vol. 6, no. 1, pp. 1–8, 2021, doi: 10.30931/jetas.910481.
ISNAD Demir, Hakan - Sarı, Ramazan. “Riemannian Submersions With Quarter- Symmetric Non-Metric Connection”. Journal of Engineering Technology and Applied Sciences 6/1 (April 2021), 1-8. https://doi.org/10.30931/jetas.910481.
JAMA Demir H, Sarı R. Riemannian Submersions with Quarter- Symmetric Non-Metric Connection. JETAS. 2021;6:1–8.
MLA Demir, Hakan and Ramazan Sarı. “Riemannian Submersions With Quarter- Symmetric Non-Metric Connection”. Journal of Engineering Technology and Applied Sciences, vol. 6, no. 1, 2021, pp. 1-8, doi:10.30931/jetas.910481.
Vancouver Demir H, Sarı R. Riemannian Submersions with Quarter- Symmetric Non-Metric Connection. JETAS. 2021;6(1):1-8.