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.


53A04 Curves in Euclidean and related spaces
53A17 Differential geometric aspects in kinematics


Zbl 0405.70001
Full Text: DOI


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