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http://dx.doi.org/10.7468/jksmeb.2020.27.2.83

SOME SPECIAL CURVES IN THREE DIMENSIONAL f-KENMOTSU MANIFOLDS  

Majhi, Pradip (Department of Pure Mathematics, University of Calcutta)
Biswas, Abhijit (Gouripur Hemazuddin High School(H.S))
Publication Information
The Pure and Applied Mathematics / v.27, no.2, 2020 , pp. 83-96 More about this Journal
Abstract
In this paper we study Biharmonic curves, Legendre curves and Magnetic curves in three dimensional f-Kenmotsu manifolds. We also study 1-type curves in a three dimensional f-Kenmotsu manifold by using the mean curvature vector field of the curve. As a consequence we obtain for a biharmonic helix in a three dimensional f-Kenmotsu manifold with the curvature κ and the torsion τ, κ2 + τ2 = -(f2 + f'). Also we prove that if a 1-type non-geodesic biharmonic curve γ is helix, then λ = -(f2 + f').
Keywords
biharmonic curve; Legendre curve; 1-type curve; magnetic curve; f-Kenmotsu manifold;
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Times Cited By KSCI : 2  (Citation Analysis)
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