biharmonic curves
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Author(s):  
Jun-ichi Inoguchi ◽  
Ji-Eun Lee
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Author(s):  
Murat Altunbaş

In this paper, we give some characterizations for proper f-biharmonic curves in the para-Bianchi-Cartan-Vranceanu space forms with 3-dimensional para-Sasakian structures.



Author(s):  
Talat Körpinar ◽  
Essin Turhan

In this paper, we study biharmonic curves in H2 × R. We show that all of them are helices. By using the curvature and torsion of the curves, we give some characterizations of horizontal biharmonic curves in H2 × R.



2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Li Du ◽  
Juan Zhang

In this paper, we firstly derived the equations for the curves of a Lorentz–Minkowski space L3 to be f-biharmonic. Then, using these equations, we classify such unit speed curves in L3.



Author(s):  
Bilal Eftal Acet

In this paper, we study $f-$biharmonic curves as the critical points of the $f-$bienergy functional $E_{2}(\psi )=\int_{M}f\mid \tau (\psi )^{2}\mid \vartheta _{g}$, on a Lorentzian para-Sasakian manifold $M$. We give necessary and sufficient conditions for a curve such that has a timelike principal normal vector on lying a $4$-dimensional conformally flat, quasi-conformally flat and conformally symmetric Lorentzian para-Sasakian manifold to be an $f-$biharmonic curve. Moreover, we introduce proper $f-$biharmonic curves on the Lorentzian sphere $S_{1}^{4}.$



2018 ◽  
Vol 7 (4) ◽  
pp. 530-532
Author(s):  
Talat Körpinar ◽  
Handan öztekin


2018 ◽  
Vol 11 (2) ◽  
pp. 18-27 ◽  
Author(s):  
Fatma KARACA ◽  
Cihan ÖZGÜR
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2018 ◽  
Vol 7 (3) ◽  
pp. 454-456
Author(s):  
Talat Körpinar ◽  
Handan öztekin
Keyword(s):  


2018 ◽  
Author(s):  
Bilal Eftal Acet ◽  
Selcen Yüksel Perktaş ◽  
Feyza Esra Erdoğan
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