8 citations · 39 across the 15 of their papers we have counts for
15 papers
Courant Algebroids in Parabolic Geometry
Stuart Armstrong, Rongmin Lu
Let be a Lie subalgebra of a semisimple Lie algebra and be the corresponding pair of connected Lie groups. A Cartan geometry of type associates to a smooth…
A note on discrete Holonomy through directed edges, with no lengths
Stuart Armstrong, Jussi Westergren
This note demonstrates how both the concept of distance and the concept of holonomy can be constructed from a suitable network with directed edges (and no lengths). The number of d…
Non-regular -graded geometries II: classifying geometries, and generic six-in-nine distributions
Stuart Armstrong
Complementing the previous paper in the series, this paper classifies -graded parabolic geometries, listing their important properties: the group , the graded tangent bun…
Non-regular -graded geometries I: general theory
Stuart Armstrong
This paper analyses non-regular -graded geometries, and show that they share many of the properties of regular geometries -- the existence of a unique normal Cartan connection…
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…
Addendum to "Ricci-flat holonomy: a Classification": the case of Spin(10)
Stuart Armstrong
This note fills a hole in the author's previous paper ``Ricci-Flat Holonomy: a Classification'', by dealing with irreducible holonomy algebras that are subalgebras or real forms of…