6 citations · 15 across the 6 of their papers we have counts for
6 papers
Reducing almost Lagrangian structures and almost CR geometries to partially integrable structures
Stuart Armstrong
This paper demostrates a method for analysing almost CR geometries , by uniquley defining a partially integrable structure from the same data. Thus two almost CR geo…
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…
Definite signature conformal holonomy: a complete classification
Stuart Armstrong
This paper aims to classify the holonomy of the conformal Tractor connection, and relate these holonomies to the geometry of the underlying manifold. The conformally Einstein case…