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Nearly Kahler geometry and (2, 3, 5)-distributions via projective holonomy

Gover, Rod; Panai, R; Willse, T

Description

We show that any dimension-6 nearly Kahler (or nearly para-Kahler) geometry arises as a projective manifold equipped with a G2(*) holonomy reduction. In the converse direction, we show that if a projective manifold is equipped with a parallel seven-dimensional cross product on its standard tractor bundle, then the manifold is a Riemannian nearly Kahler manifold, if the cross product is definite; otherwise, if the cross product has the other algebraic type, the manifold is in general stratified...[Show more]

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
URI: http://hdl.handle.net/1885/243994
Source: Indiana University Mathematics Journal
DOI: 10.1512/iumj.2017.66.6089

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