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ON SPACELIKE BIHARMONIC SLANT HELICES ACCORDING TO BISHOP FRAME IN THE LORENTZIAN GROUP OF RIGID MOTIONS E(1,1)

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Author(s): Talat Körpınar | Essin Turhan

Journal: Boletim da Sociedade Paranaense de Matemática
ISSN 0037-8712

Volume: 30;
Issue: 2;
Start page: 91;
Date: 2012;
Original page

Keywords: Biharmonic curve | Bishop frame | Rigid motions.

ABSTRACT
In this paper, we study spacelike biharmonic slant helices according to Bishop frame in the Lorentzian group of rigid motions E(1,1). We characterize the spacelike biharmonic slant helices in terms of their curvatures in the Lorentzian group of rigid motions E(1,1). Finally, we obtain parametric equations of spacelike biharmonic slant helices according to Bishop frame in the Lorentzian group of rigid motions E(1,1).
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