Spacelike elastic biharmonic curves with spacelike principal normal according to Bishop frame in Minkowski 3-space

Author:

Essin TURHAN, Talat KÖRPINAR

2010 Mathematics Subject Classication:

31B30, 58E20

Keywords:

biharmonic curve, elastic curve, Minkowski 3-space

Abstract:

In this paper, we study spacelike elastic biharmonic curves with spacelike principal normal according to Bishop frame in Minkowski 3-space \mathbb{E}_{1}^{3}. We give some characterizations for curvature and torsion of a biharmonic curve in Minkowski 3-space \mathbb{E}_{1}^{3}. Finally, we use Noether's theorem to derive some equations.

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Turh-Korp-2011

Vol. 6 (14), 2011