Research Article

Riemannian submersions endowed with a semi-symmetric non-metric connection

Volume: 6 Number: 1 April 15, 2018
EN

Riemannian submersions endowed with a semi-symmetric non-metric connection

Abstract

We study Riemannian submersions from a Riemannian manifold endowed with a semi-symmetric non-metric connection onto a Riemannian manifold. We give an example and investigate O'Neill's tensor fields, obtain derivatives of those tensor fields and compare curvatures of the total manifold, the base manifold and the fibres by computing curvatures.

Keywords

References

  1. [1] Agashe, N.S. and Chafle, M.R., A semi-symmetric non-metric connection on a Riemannian manifold, Indian J.Pure Appl.Math. 23(1992), no 6, 399-409.
  2. [2] Altafini C., Redundant robotic chains on Riemannian submersions IEEE Transactions on Robotics and Automation, 2004, 20(2), 335-340
  3. [3] Falcitelli, M., Ianus, S., Pastore, A. M. Riemannian Submersions and Related Topics, World Scientific, 2004
  4. [4] Friedmann, A. and Schouten, J.A., U¨ ber die Geometrie der halbsymmetrischen U¨ bertragung, Math. Zeitschr., 21(1924), 211-223.
  5. [5] Gray, A., Pseudo-Riemannian almost product manifolds and submersions. J. Math. Mech. 16 1967 715–737.
  6. [6] Hayden, H. A., Subspaces of a space with torsion, Proc. London Math. Soc. 34(1), (1932), 27-50.
  7. [7] G¨und¨uzalp, Y., Riemann submersiyonlarının geometrisi ¨uzerine, Y¨uksek lisans tezi, Malatya, 2007.
  8. [8] O’Neill, B., The fundamental equations of a submersion, Michigan Math. J. 13(1966), 459-469.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Mehmet Akif Akyol *
Bingöl University, Faculty of Art and Science Department of Mathematics, Bingol, Turkey
Türkiye

Publication Date

April 15, 2018

Submission Date

July 25, 2017

Acceptance Date

February 1, 2018

Published in Issue

Year 2018 Volume: 6 Number: 1

APA
Akyol, M. A., & Beyendi, S. (2018). Riemannian submersions endowed with a semi-symmetric non-metric connection. Konuralp Journal of Mathematics, 6(1), 188-193. https://izlik.org/JA78SB25ND
AMA
1.Akyol MA, Beyendi S. Riemannian submersions endowed with a semi-symmetric non-metric connection. Konuralp J. Math. 2018;6(1):188-193. https://izlik.org/JA78SB25ND
Chicago
Akyol, Mehmet Akif, and Selahattin Beyendi. 2018. “Riemannian Submersions Endowed With a Semi-Symmetric Non-Metric Connection”. Konuralp Journal of Mathematics 6 (1): 188-93. https://izlik.org/JA78SB25ND.
EndNote
Akyol MA, Beyendi S (April 1, 2018) Riemannian submersions endowed with a semi-symmetric non-metric connection. Konuralp Journal of Mathematics 6 1 188–193.
IEEE
[1]M. A. Akyol and S. Beyendi, “Riemannian submersions endowed with a semi-symmetric non-metric connection”, Konuralp J. Math., vol. 6, no. 1, pp. 188–193, Apr. 2018, [Online]. Available: https://izlik.org/JA78SB25ND
ISNAD
Akyol, Mehmet Akif - Beyendi, Selahattin. “Riemannian Submersions Endowed With a Semi-Symmetric Non-Metric Connection”. Konuralp Journal of Mathematics 6/1 (April 1, 2018): 188-193. https://izlik.org/JA78SB25ND.
JAMA
1.Akyol MA, Beyendi S. Riemannian submersions endowed with a semi-symmetric non-metric connection. Konuralp J. Math. 2018;6:188–193.
MLA
Akyol, Mehmet Akif, and Selahattin Beyendi. “Riemannian Submersions Endowed With a Semi-Symmetric Non-Metric Connection”. Konuralp Journal of Mathematics, vol. 6, no. 1, Apr. 2018, pp. 188-93, https://izlik.org/JA78SB25ND.
Vancouver
1.Mehmet Akif Akyol, Selahattin Beyendi. Riemannian submersions endowed with a semi-symmetric non-metric connection. Konuralp J. Math. [Internet]. 2018 Apr. 1;6(1):188-93. Available from: https://izlik.org/JA78SB25ND
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