| Title:
|
Preferred parameterisations on homogeneous curves (English) |
| Author:
|
Eastwood, Michael |
| Author:
|
Slovák, Jan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
45 |
| Issue:
|
4 |
| Year:
|
2004 |
| Pages:
|
597-606 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show how to specify preferred parameterisations on a homogeneous curve in an arbitrary homogeneous space. We apply these results to limit the natural parameters on distinguished curves in parabolic geometries. (English) |
| Keyword:
|
homogeneous space |
| Keyword:
|
parabolic geometry |
| Keyword:
|
distinguished curves |
| MSC:
|
17B66 |
| MSC:
|
22F30 |
| MSC:
|
53A40 |
| MSC:
|
53C30 |
| idZBL:
|
Zbl 1099.22010 |
| idMR:
|
MR2103078 |
| . |
| Date available:
|
2009-05-05T16:47:52Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119488 |
| . |
| Reference:
|
[1] Ackerman M., Hermann R.: Sophus Lie's 1880 Transformation Group Paper.Math Sci Press, Brookline, Mass., 1975. MR 0460053 |
| Reference:
|
[2] Čap A., Slovák J., Žádník V.: On distinguished curves in parabolic geometries.Transformation Groups 9 2 (2004), 143-166. Zbl 1070.53021, MR 2056534 |
| Reference:
|
[3] Lie S.: Theorie der Transformationsgruppen.Math. Ann. 16 (1880), 441-528. MR 1510035 |
| Reference:
|
[4] Sharpe R.W.: Differential Geometry.Springer, New York, 1997. Zbl 0876.53001, MR 1453120 |
| Reference:
|
[5] Strigunova M.S.: Finite-dimensional subalgebras of the Lie algebra of vector fields on the circle (in Russian).Trudy Mat. Inst. Steklova 236 (2002), 338-342. MR 1931034 |
| . |
