| 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:
|
http://hdl.handle.net/10338.dmlcz/104000 |
| . |
| 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 |
| . |
