The Darboux theorem on plane trajectories of two-parametric space motions
Karger, Adolf
Applications of Mathematics, Tome 33 (1988), p. 417-442 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1988-01-01
Classification:  53A17 
@article{104322,
     author = {Adolf Karger},
     title = {The Darboux theorem on plane trajectories of two-parametric space motions},
     journal = {Applications of Mathematics},
     volume = {33},
     year = {1988},
     pages = {417-442},
     zbl = {0666.53004},
     mrnumber = {0973238},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104322}
}

Karger, Adolf. The Darboux theorem on plane trajectories of two-parametric space motions. Applications of Mathematics, Tome 33 (1988) pp. 417-442. http://gdmltest.u-ga.fr/item/104322/

G. Koenigs Leçons de Cinématique, Paris 1897, Note III by G. Darboux: Sur les mouvements algébriques.

W. Blaschke Kinematik und Quaternionen, Berlin 1960. (1960) | MR 0119471 | Zbl 0098.34701

A. Karger Two-parametric motions in $E_3$, Apl. mat. 32 (1987), 96-119. (1987) | MR 0885757