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Special Bishop motion and Bishop-Darboux rotation axis of the space curve. (English) Zbl 1172.53001
On the base of a special Frenet motion with one parameter described in the book by O. Bottema and 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.
MSC:
53A04Curves in Euclidean space
53A17Kinematics (differential geometry)