| Title:
|
Remarks on symmetries of parabolic geometries (English) |
| Author:
|
Zalabová, Lenka |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
42 |
| Issue:
|
5 |
| Year:
|
2006 |
| Pages:
|
357-368 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider symmetries on filtered manifolds and we study the $|1|$-graded parabolic geometries in more details. We discuss the existence of symmetries on the homogeneous models and we conclude some simple observations on the general curved geometries. (English) |
| MSC:
|
53C05 |
| MSC:
|
53C10 |
| MSC:
|
53C35 |
| idZBL:
|
Zbl 1164.53364 |
| idMR:
|
MR2322422 |
| . |
| Date available:
|
2008-06-06T22:50:15Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108042 |
| . |
| Reference:
|
[1] Čap A., Schichl H.: Parabolic geometries and canonical Cartan connection.Hokkaido Math. J. 29 (2000), 453–505. MR 1795487 |
| Reference:
|
[2] Čap A., Slovák J.: Weyl structures for parabolic geometries.Math. Scand. 93 (2003), 53–90. Zbl 1076.53029, MR 1997873 |
| Reference:
|
[3] Čap A.: Two constructions with parabolic geometries.Proceedings of the 25th Winter School on Geometry and Physics, Srní 2005 Rend. Circ. Mat. Palermo (2) Suppl. 79 (2006), 11–38 Zbl 1120.53013, MR 2287124 |
| Reference:
|
[4] Kaup W., Zaitsev D.: On symmetric Cauchy-Riemann manifolds.Adv. Math. 149 (2000), 145–181. Zbl 0954.32016, MR 1742704 |
| Reference:
|
[5] Kobayashi S., Nomizu K.: Foundations of Differential Geometry.Vol II, John Wiley & Sons, New York–London–Sydney, 1969. Zbl 0175.48504, MR 0238225 |
| Reference:
|
[6] Sharpe R. W.: Differential geometry: Cartan’s generalization of Klein’s Erlangen program.Graduate Texts in Mathematics 166, Springer-Verlag 1997. Zbl 0876.53001, MR 1453120 |
| Reference:
|
[7] Slovák J.: Parabolic geometries.Research Lecture Notes, Part of DrSc-dissertation, Masaryk University, 1997, IGA Preprint 97/11 (University of Adelaide). |
| Reference:
|
[8] Yamaguchi K.: Differential systems associated with simple graded Lie algebras.Adv. Stud. Pure Math. 22 (1993), 413–494. Zbl 0812.17018, MR 1274961 |
| . |
