Remarks on symmetries of parabolic geometries. (English) Zbl 1164.53364

Zalabová, Lenka

Arch. Math., Brno 42, No. 5, 357-368 (2006).

Summary: We consider symmetries on filtered manifolds and we study \(| 1| \)-graded parabolic geometries in greater detail. We discuss the existence of symmetries on homogeneous models and we make some simple observations on general curved geometries.

MSC:

53C35	Differential geometry of symmetric spaces
53C05	Connections (general theory)
53C10	\(G\)-structures

Keywords:

Cartan geometry; generalized structure; graded simple Lie algebra; homogeneous model; curvature