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Zbl 1171.53014
Karacan, Murat Kemal; Bukcu, Bahaddin; Yuksel, Nural
On the dual Bishop Darboux rotation axis of the dual space curve.
(English)
[J] Appl. Sci. 10, 115-120, electronic only (2008). ISSN 1454-5101

The authors introduce the dual version of the Bishop frame-off a space-curve in the three-dimensional space $D^3$ over the ring $D$ of dual numbers. Particularly, they determine the instantaneous dual Bishop Darboux rotation axis of a dual space curve and prove the decomposition of the dual Darboux rotation of a dual Bishop frame into two simultaneous rotations.
[Despina Papadopoulou-Florou (Thessaloniki)]
MSC 2000:
*53A25 Differential line geometry

Keywords: dual Bishop frame; dual Darboux rotation; dual Bishop Darboux rotation axis

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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