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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:

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

Citations:

Zbl 0405.70001
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References:

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[8] Selig J. M., IMA Journal of Mathematical Control and Information (2006)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.