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Zbl 1172.53001
Bukcu, Bahaddin; Karacan, Murat Kemal
Special Bishop motion and Bishop-Darboux rotation axis of the space curve.
(English)
[J] J. Dyn. Syst. Geom. Theor. 6, No. 1, 27-34 (2008). ISSN 1726-037X; ISSN 2169-0057/e

On the base of a special Frenet motion with one parameter described in the book by {\it O. Bottema} and {\it B. Roth} [Theoretical kinematics. Amsterdam, New York, Oxford: North-Holland Publishing Company (1979; Zbl 0405.70001)], the authors give in the present paper a generalization of the Bishop motion in the three-dimensional Euclidean space.
[Clementina Mladenova (Sofia)]
MSC 2000:
*53A04 Curves in Euclidean space
53A17 Kinematics (differential geometry)

Keywords: Bishop frame; parallel transport frame; Bishop-Darboux vector; Bishop-Darboux rotation axis

Citations: Zbl 0405.70001

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

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