Geodesic
The Darboux theorem on plane trajectories of two-parametric space motions
Applications of Mathematics, Tome 33 (1988) no. 6, pp. 417-442.

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The paper contains the proof of the classification theorem for two-parametric space motions with at least 5 points with plane trajectories. The proof is based on [1] and on the cannonical form of a certain tensor of order 3. The second part of the paper deals with the problem of plane trajectories from the differential-geometrical point of view. Some applications are given.
DOI : 10.21136/AM.1988.104322
Classification : 53A17
Keywords: two parametric space motions; Darboux-theorem; kinematics geometry 
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     title = {The {Darboux} theorem on plane trajectories of two-parametric space motions},
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Karger, Adolf. The Darboux theorem on plane trajectories of two-parametric space motions. Applications of Mathematics, Tome 33 (1988) no. 6, pp. 417-442. doi : 10.21136/AM.1988.104322. http://geodesic.mathdoc.fr/articles/10.21136/AM.1988.104322/

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