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

Willse, Travis

Description

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
URI: http://hdl.handle.net/1885/69324
Source: Differential Geometry and its Applications
DOI: 10.1016/j.difgeo.2013.10.010

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