| Title:
|
The Darboux theorem on plane trajectories of two-parametric space motions (English) |
| Author:
|
Karger, Adolf |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
33 |
| Issue:
|
6 |
| Year:
|
1988 |
| Pages:
|
417-442 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper contains the proof of the classification theorem for two-parametric space motions with at least 5 points with plane trajectories. The proof is based on [1] and on the cannonical form of a certain tensor of order 3. The second part of the paper deals with the problem of plane trajectories from the differential-geometrical point of view. Some applications are given. (English) |
| Keyword:
|
two parametric space motions |
| Keyword:
|
Darboux-theorem |
| Keyword:
|
kinematics geometry |
| MSC:
|
53A17 |
| idZBL:
|
Zbl 0666.53004 |
| idMR:
|
MR0973238 |
| DOI:
|
10.21136/AM.1988.104322 |
| . |
| Date available:
|
2008-05-20T18:35:27Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104322 |
| . |
| Reference:
|
[1] G. Koenigs: Leçons de Cinématique.Paris 1897, Note III by G. Darboux: Sur les mouvements algébriques. |
| Reference:
|
[2] W. Blaschke: Kinematik und Quaternionen.Berlin 1960. Zbl 0098.34701, MR 0119471 |
| Reference:
|
[3] A. Karger: Two-parametric motions in $E_3$.Apl. mat. 32 (1987), 96-119. MR 0885757 |
| . |
