Aspects of parabolic invariant theory. (English) Zbl 0967.53033

Gover, A. Rod

Slovák, Jan (ed.) et al., Proceedings of the 18th winter school “Geometry and physics”, Srní, Czech Republic, January 10-17, 1998. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 59, 25-47 (1999).

A certain family of homogeneous spaces is investigated. Basic invariant operators for each of these structures are presented and some analogies to Levi-Civita connections of Riemannian geometry are pointed out.
For the entire collection see [Zbl 0913.00039].

Reviewer: A.Szybiak (Waterloo/Ontario)

MSC:

53C30	Differential geometry of homogeneous manifolds
32M10	Homogeneous complex manifolds
53C15	General geometric structures on manifolds (almost complex, almost product structures, etc.)
32V05	CR structures, CR operators, and generalizations

Keywords:

CR structure; Cartan connection; tractor bundle; polynomial invariants; conformal structure; Laplacian