Research Article

Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection

Volume: 4 Number: 3 December 31, 2019
EN

Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection

Abstract

In this work, we give some basic informations about Ricci solitons on a nearly Kenmotsu manifold and some structures on this manifolds satisfying semi-symmetric metric connection. And then we consider some important results and theorems of Ricci solitons on Ricci-recurrent and Φ-recurrent nearly Kenmotsu manifolds with semi-symmetric metric connection. Also final part of the present paper, we study Ricci solitons on quasi-projectively flat nearly Kenmotsu manifolds with semi-symmetric metric connection.

Keywords

References

  1. Bejan, C.L., Crasmareanu, M., “Second order parallel tensors and Ricci solitons in 3-dimensional normal paracontact geometry”, Ann. Glob. Anal. Geom. (2014), doi:10. 1007/s10455-014-9414-4. Hamilton, R.S., “Three manifolds with positive Ricci curvature”, Journal of Differential Geometry 17 (2) (1982) : 225-306.
  2. Hamilton, R.S., “The Ricci flow on surfaces”, Contemporary Mathematics 71 (1988) : 237-261.
  3. Hamilton, R.S., “The Ricci flow on surfaces. In: Mathematics and general relativity (Santa Cruz, CA, 1986)”, Contemp. Math. Amr. Math. Soc., Providence 71 (1988) : 237-262.
  4. Nagaraja, H.G., Venu, K., “Ricci Solitons in Kenmotsu Manifold”, Journal of Informatics and Mathematical Sciences 8 (2016) : 29.
  5. Oztürk, H., “On α−Kenmotsu manifolds satisfying semi-symmetric conditions”, Konuralp Journal of Mathematics 5 (2017) : 192-193.
  6. Kenmotsu, K., “A class of contact Riemannian manifold”, Tohoko Math. J. 24 (1972) : 93-103.
  7. Nomizu, K., “On hypersurfaces satisfying a certain condition on the curvature tensor”, Tohoko Mat. J. 20 (1968) : 46-69.
  8. Blair, D.E., “Contact manifolds in Riemannian geometry”, Lecture Notes in Mathematics 509 (1976), Springer-Verlag, Berlin.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Dilek Demirhan This is me
Türkiye

Publication Date

December 31, 2019

Submission Date

October 7, 2019

Acceptance Date

November 22, 2019

Published in Issue

Year 2019 Volume: 4 Number: 3

APA
Ayar, G., & Demirhan, D. (2019). Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection. Journal of Engineering Technology and Applied Sciences, 4(3), 131-140. https://doi.org/10.30931/jetas.643643
AMA
1.Ayar G, Demirhan D. Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection. JETAS. 2019;4(3):131-140. doi:10.30931/jetas.643643
Chicago
Ayar, Gülhan, and Dilek Demirhan. 2019. “Ricci Solitons on Nearly Kenmotsu Manifolds With Semi-Symmetric Metric Connection”. Journal of Engineering Technology and Applied Sciences 4 (3): 131-40. https://doi.org/10.30931/jetas.643643.
EndNote
Ayar G, Demirhan D (December 1, 2019) Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection. Journal of Engineering Technology and Applied Sciences 4 3 131–140.
IEEE
[1]G. Ayar and D. Demirhan, “Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection”, JETAS, vol. 4, no. 3, pp. 131–140, Dec. 2019, doi: 10.30931/jetas.643643.
ISNAD
Ayar, Gülhan - Demirhan, Dilek. “Ricci Solitons on Nearly Kenmotsu Manifolds With Semi-Symmetric Metric Connection”. Journal of Engineering Technology and Applied Sciences 4/3 (December 1, 2019): 131-140. https://doi.org/10.30931/jetas.643643.
JAMA
1.Ayar G, Demirhan D. Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection. JETAS. 2019;4:131–140.
MLA
Ayar, Gülhan, and Dilek Demirhan. “Ricci Solitons on Nearly Kenmotsu Manifolds With Semi-Symmetric Metric Connection”. Journal of Engineering Technology and Applied Sciences, vol. 4, no. 3, Dec. 2019, pp. 131-40, doi:10.30931/jetas.643643.
Vancouver
1.Gülhan Ayar, Dilek Demirhan. Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection. JETAS. 2019 Dec. 1;4(3):131-40. doi:10.30931/jetas.643643

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