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BibTex RIS Kaynak Göster

Yıl 2021, Cilt: 6 Sayı: 1, 1 - 8, 30.04.2021

Hakan Demir Ramazan Sarı

https://doi.org/10.30931/jetas.910481
Cited By: 1

Öz

Kaynakça

  • [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

Yıl 2021, Cilt: 6 Sayı: 1, 1 - 8, 30.04.2021

Hakan Demir Ramazan Sarı

https://doi.org/10.30931/jetas.910481
Cited By: 1

Öz

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.

Anahtar Kelimeler

Riemannian submersion quarter symmetric connection O'Neill tensors

Kaynakça

  • [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.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Research Article
Yazarlar

Hakan Demir Bu kişi benim 0000-0003-2402-339X

Ramazan Sarı 0000-0002-4618-8243

Yayımlanma Tarihi 30 Nisan 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 6 Sayı: 1

Kaynak Göster

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. Nisan 2021;6(1):1-8. doi:10.30931/jetas.910481
Chicago Demir, Hakan, ve Ramazan Sarı. “Riemannian Submersions With Quarter- Symmetric Non-Metric Connection”. Journal of Engineering Technology and Applied Sciences 6, sy. 1 (Nisan 2021): 1-8. https://doi.org/10.30931/jetas.910481.
EndNote Demir H, Sarı R (01 Nisan 2021) Riemannian Submersions with Quarter- Symmetric Non-Metric Connection. Journal of Engineering Technology and Applied Sciences 6 1 1–8.
IEEE H. Demir ve R. Sarı, “Riemannian Submersions with Quarter- Symmetric Non-Metric Connection”, JETAS, c. 6, sy. 1, ss. 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 (Nisan 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 ve Ramazan Sarı. “Riemannian Submersions With Quarter- Symmetric Non-Metric Connection”. Journal of Engineering Technology and Applied Sciences, c. 6, sy. 1, 2021, ss. 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.

Cited By

Riemannian submersions endowed with a new type of semi-symmetric non-metric connection
Thermal Science
https://doi.org/10.2298/TSCI2304393K