Article
Full entry |
PDF
(0.2 MB)
Feedback
PDF
(0.2 MB)
Feedback
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.
References:
[1] Čap A., Schichl H.: Parabolic geometries and canonical Cartan connection. Hokkaido Math. J. 29 (2000), 453–505. MR 1795487
[2] Čap A., Slovák J.: Weyl structures for parabolic geometries. Math. Scand. 93 (2003), 53–90. MR 1997873 | Zbl 1076.53029
[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 MR 2287124 | Zbl 1120.53013
[4] Kaup W., Zaitsev D.: On symmetric Cauchy-Riemann manifolds. Adv. Math. 149 (2000), 145–181. MR 1742704 | Zbl 0954.32016
[5] Kobayashi S., Nomizu K.: Foundations of Differential Geometry. Vol II, John Wiley & Sons, New York–London–Sydney, 1969. MR 0238225 | Zbl 0175.48504
[6] Sharpe R. W.: Differential geometry: Cartan’s generalization of Klein’s Erlangen program. Graduate Texts in Mathematics 166, Springer-Verlag 1997. MR 1453120 | Zbl 0876.53001
[7] Slovák J.: Parabolic geometries. Research Lecture Notes, Part of DrSc-dissertation, Masaryk University, 1997, IGA Preprint 97/11 (University of Adelaide).
[8] Yamaguchi K.: Differential systems associated with simple graded Lie algebras. Adv. Stud. Pure Math. 22 (1993), 413–494. MR 1274961 | Zbl 0812.17018
Search
Partner of
