6 citations · 15 across the 6 of their papers we have counts for
4 papers · 1 filter
Subalgebras of Lie algebras with non-degenerate restriction of the Killing form
Stuart Armstrong
Let $\mf{g}$ be any finite-dimensional Lie algebra with Killling form . Let $\mf{h}$ be a subalgebra of $\mf{g}$ on which the Killing form is non degenerate. Then $\mf{h}$ is re…
Free 3-distributions: holonomy, Fefferman constructions and dual distributions
Stuart Armstrong
This paper analyses the parabolic geometries generated by a free 3-distribution in the tangent space of a manifold. It shows the existence of normal Fefferman constructions over CR…
Free -distributions: holonomy, sub-Riemannian structures, Fefferman constructions and dual distributions
Stuart Armstrong
This paper analyses the parabolic geometries generated by a free -distribution in the tangent space of a manifold. It shows that certain holonomy reductions of the associated no…
Generalised Einstein condition and cone construction for parabolic geometries
Stuart Armstrong
This paper attempts to define a generalisation of the standard Einstein condition (in conformal/metric geometry) to any parabolic geometry. To do so, it shows that any preserved in…