22 citations · 22 across the 2 of their papers we have counts for
5 papers
On Distinguished Curves in Parabolic Geometries
Andreas Cap, Jan Slovak, Vojtech Zadnik
All parabolic geometries, i.e. Cartan geometries with homogeneous model a real generalized flag manifold, admit highly interesting classes of distinguished curves. The geodesics of…
Standard Tractors and the Conformal Ambient Metric Construction
Andreas Cap, A. Rod Gover
In this paper we relate the Fefferman-Graham ambient metric construction for conformal manifolds to the approach to conformal geometry via the canonical Cartan connection. We show…
Correspondence spaces and twistor spaces for parabolic geometries
Andreas Cap
For a semisimple Lie group with parabolic subgroups , we associate to a parabolic geometry of type on a smooth manifold the correspondence spac…
Some Special Geometry in Dimension Six
Andreas Cap, Michael Eastwood
We generalise the notion of contact manifold by allowing the contact distribution to have codimension two. There are special features in dimension six. In particular, we show that…
Bernstein-Gelfand-Gelfand sequences
Andreas Cap, Jan Slovak, Vladimir Soucek
This paper is devoted to the study of geometric structures modeled on homogeneous spaces G/P, where G is a real or complex semisimple Lie group and is a parabolic subg…