4 papers
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…
Einstein metrics with anisotropic boundary behaviour
S. Armstrong, O. Biquard
We construct new examples of complete Einstein metrics on balls. At each point of the boundary at infinity, the metric is asymptotic to a homogeneous Einstein metric on a solvable…