Skip navigation
Skip navigation

Highly symmetric 2-plane fields on 5-manifolds and 5-dimensional Heisenberg group holonomy

Willse, Travis


Nurowski showed that any generic 2-plane field D on a 5-manifold M determines a natural conformal structure c D on M; these conformal structures are exactly those (on oriented M) whose normal conformal holonomy is contained in the (split, real) simple Lie group G2. Graham and Willse showed that for real-analytic D the same holds for the holonomy of the real-analytic Fefferman-Graham ambient metric of c D, and that both holonomy groups are equal to G2 for almost all D. We investigate here...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Differential Geometry and its Applications
DOI: 10.1016/j.difgeo.2013.10.010


There are no files associated with this item.

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  23 August 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator