Geodesic
Classification of projective space motions with only plane trajectories
Applications of Mathematics, Tome 34 (1989) no. 2, pp. 133-145.

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The paper contains the solution of the classification problem for all motions in the complex projective space, which have only plane trajectories. It is shown that each such motion is a submanifold of a maximal motion with the same property. Maximal projective space motions with only plane trajectories are determined by special linear submanifolds of dimensions 2, 3, 5, 8 in $GL(4,C)$, they are denoted as $R, E_1, ..., E_6, S_1, S_2$ and given by explicit expressions.
DOI : 10.21136/AM.1989.104341
Classification : 53A17, 53A20
Keywords: projective kinematics; special $s$-parameter motion 
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     author = {Karger, Adolf},
     title = {Classification of projective space motions with only plane trajectories},
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Karger, Adolf. Classification of projective space motions with only plane trajectories. Applications of Mathematics, Tome 34 (1989) no. 2, pp. 133-145. doi : 10.21136/AM.1989.104341. http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104341/

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