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Title: Euclidean space motions with affinely equivalent trajectories (English)
Author: Karger, Adolf
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 28
Issue: 1
Year: 1983
Pages: 32-43
Summary lang: English
Summary lang: Czech
Summary lang: Russian
Category: math
Summary: The author studies the Euclidean space motions with the property that the trajectory of every point is an affine image of a given space curve. Such motions split into plane motions and translations and their trajectories are cylindrical curves. They are characterized as motions with the following property: Not all trajectories are plane curves and if any trajectory has a planar point, it lies in a plane. Motions with infinitely many straight trajectories form a special subclass of those motions. (English)
Keyword: Euclidean space motions
Keyword: trajectories
MSC: 51N20
idZBL: Zbl 0511.51026
idMR: MR0684709
DOI: 10.21136/AM.1983.104000
Date available: 2008-05-20T18:20:55Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] W. Blaschke: Zur Kinematik.Abh. math. Sem. Univ. Hamburg, 22 (1958), 171 - 175. Zbl 0178.24302, MR 0096388, 10.1007/BF02941949
Reference: [2] A. Karger: Darboux motions in $E_n$.Czech. Math. Journ. 29 (104) (1979), 303-317. Zbl 0405.53004, MR 0529518


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