Research Article

On Biharmonic and Biminimal Curves in 3-dimensional f-Kenmotsu Manifolds

Volume: 1 Number: 1 January 31, 2020
EN

On Biharmonic and Biminimal Curves in 3-dimensional f-Kenmotsu Manifolds

Abstract

In the present paper, we study biharmonicity and biminimality of the curves in 3-dimensional f-Kenmotsu manifolds. We investigate necessary and sufficient conditions for a slant curve in a 3-dimensional f-Kenmotsu manifold to be biharmonic and biminimal, respectively. We give some related characterizations in case such curves are Legendre curves.

Keywords

References

  1. Călin C., Crasmareanu M., Munteanu M.I., Slant curves in three-dimensional f -Kenmotsu manifolds, J. Math. Anal. Appl., 394, 400-407, 2012.
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  4. Janssens D., Vanhecke L., Almost contact structures and curvature tensors, Kodai Math. J., 4(1), 1–27, 1981.
  5. Kenmotsu K., A class of almost contact Riemannian manifolds, Tohoku Math. J., 24, 93–103, 1972.
  6. Mangione V., Harmonic maps and stability on f-Kenmotsu manifolds, Int. J. Math. Math. Sci., 7, Article ID798317, 2008.
  7. Olszak Z., Rosca R., Normal locally conformal almost cosymplectic manifolds, Publ. Math. Debrecen, 39, 315–323, 1991.
  8. Cho J.T., Inoguchi J.-I., Lee J.-E., On slant curves in Sasakian 3-manifolds, Bull. Austral. Math. Soc., 74(3), 359–367, 2006.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

January 31, 2020

Submission Date

December 25, 2019

Acceptance Date

January 7, 2020

Published in Issue

Year 2020 Volume: 1 Number: 1

APA
Yüksel Perktaş, S., Acet, B. E., & Ouakkas, S. (2020). On Biharmonic and Biminimal Curves in 3-dimensional f-Kenmotsu Manifolds. Fundamentals of Contemporary Mathematical Sciences, 1(1), 14-22. https://izlik.org/JA24WZ83FY
AMA
1.Yüksel Perktaş S, Acet BE, Ouakkas S. On Biharmonic and Biminimal Curves in 3-dimensional f-Kenmotsu Manifolds. FCMS. 2020;1(1):14-22. https://izlik.org/JA24WZ83FY
Chicago
Yüksel Perktaş, Selcen, Bilal Eftal Acet, and Seddik Ouakkas. 2020. “On Biharmonic and Biminimal Curves in 3-Dimensional F-Kenmotsu Manifolds”. Fundamentals of Contemporary Mathematical Sciences 1 (1): 14-22. https://izlik.org/JA24WZ83FY.
EndNote
Yüksel Perktaş S, Acet BE, Ouakkas S (January 1, 2020) On Biharmonic and Biminimal Curves in 3-dimensional f-Kenmotsu Manifolds. Fundamentals of Contemporary Mathematical Sciences 1 1 14–22.
IEEE
[1]S. Yüksel Perktaş, B. E. Acet, and S. Ouakkas, “On Biharmonic and Biminimal Curves in 3-dimensional f-Kenmotsu Manifolds”, FCMS, vol. 1, no. 1, pp. 14–22, Jan. 2020, [Online]. Available: https://izlik.org/JA24WZ83FY
ISNAD
Yüksel Perktaş, Selcen - Acet, Bilal Eftal - Ouakkas, Seddik. “On Biharmonic and Biminimal Curves in 3-Dimensional F-Kenmotsu Manifolds”. Fundamentals of Contemporary Mathematical Sciences 1/1 (January 1, 2020): 14-22. https://izlik.org/JA24WZ83FY.
JAMA
1.Yüksel Perktaş S, Acet BE, Ouakkas S. On Biharmonic and Biminimal Curves in 3-dimensional f-Kenmotsu Manifolds. FCMS. 2020;1:14–22.
MLA
Yüksel Perktaş, Selcen, et al. “On Biharmonic and Biminimal Curves in 3-Dimensional F-Kenmotsu Manifolds”. Fundamentals of Contemporary Mathematical Sciences, vol. 1, no. 1, Jan. 2020, pp. 14-22, https://izlik.org/JA24WZ83FY.
Vancouver
1.Selcen Yüksel Perktaş, Bilal Eftal Acet, Seddik Ouakkas. On Biharmonic and Biminimal Curves in 3-dimensional f-Kenmotsu Manifolds. FCMS [Internet]. 2020 Jan. 1;1(1):14-22. Available from: https://izlik.org/JA24WZ83FY

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