Karger, Adolf Projective plane motions with infinitely many straight trajectories. (English) Zbl 0566.53020 Apl. Mat. 30, 36-49 (1985). The only (non-trivial) euclidean plane motion with infinitely many straight trajectories is the elliptic motion; all trajectories of this motion are affinely equivalent. In the present paper the author classifies all projective plane motions with the property that each point of the (irreducible) inflexion cubic has a straight trajectory. These motions form a comparatively large class of motions and can be considered as projective Darboux motions. Reviewer: J.Hoschek MSC: 53A17 Differential geometric aspects in kinematics Keywords:elliptic motion; projective plane motions; inflexion cubic; Darboux motions × Cite Format Result Cite Review PDF Full Text: DOI EuDML References: [1] H. Frank: Ebene projektive Kinematik. Dissertation Univ. Karlsruhe, 1968. [2] J. Tölke: Ebene projektive Kinematik I. II, III. Math. Nachr. 63 (1974) 167-185, 187-196; 68 (1975) 221-237. · Zbl 0296.53005 · doi:10.1002/mana.3210630114 [3] A. Karger: Affine Darboux motions. Czech. Math. Journ., in print. · Zbl 0597.53004 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.