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.
@article{104341,
author = {Adolf Karger},
title = {Classification of projective space motions with only plane trajectories},
journal = {Applications of Mathematics},
volume = {34},
year = {1989},
pages = {133-145},
zbl = {0678.53009},
mrnumber = {0990300},
language = {en},
url = {http://dml.mathdoc.fr/item/104341}
}
Karger, Adolf. Classification of projective space motions with only plane trajectories. Applications of Mathematics, Tome 34 (1989) pp. 133-145. http://gdmltest.u-ga.fr/item/104341/
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