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.
@article{108042,
author = {Lenka Zalabov\'a},
title = {Remarks on symmetries of parabolic geometries},
journal = {Archivum Mathematicum},
volume = {042},
year = {2006},
pages = {357-368},
zbl = {1164.53364},
mrnumber = {2322422},
language = {en},
url = {http://dml.mathdoc.fr/item/108042}
}
Zalabová, Lenka. Remarks on symmetries of parabolic geometries. Archivum Mathematicum, Tome 042 (2006) pp. 357-368. http://gdmltest.u-ga.fr/item/108042/
Parabolic geometries and canonical Cartan connection, Hokkaido Math. J. 29 (2000), 453–505. | MR 1795487
Weyl structures for parabolic geometries, Math. Scand. 93 (2003), 53–90. | MR 1997873 | Zbl 1076.53029
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 | MR 2287124 | Zbl 1120.53013
On symmetric Cauchy-Riemann manifolds, Adv. Math. 149 (2000), 145–181. | MR 1742704 | Zbl 0954.32016
Foundations of Differential Geometry, Vol II, John Wiley & Sons, New York–London–Sydney, 1969. (1969) | MR 0238225 | Zbl 0175.48504
Differential geometry: Cartan’s generalization of Klein’s Erlangen program, Graduate Texts in Mathematics 166, Springer-Verlag 1997. (1997) | MR 1453120 | Zbl 0876.53001
Parabolic geometries, Research Lecture Notes, Part of DrSc-dissertation, Masaryk University, 1997, IGA Preprint 97/11 (University of Adelaide). (1997)
Differential systems associated with simple graded Lie algebras, Adv. Stud. Pure Math. 22 (1993), 413–494. (1993) | MR 1274961 | Zbl 0812.17018