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Moduli of coassociative submanifolds and semi-flat G2-manifolds

Baraglia, David

Description

We show that the moduli space of deformations of a compact coassociative submanifold C has a natural local embedding as a submanifold of H2(C,R). We show that a G2-manifold with a T4-action of isometries such that the orbits are coassociative tori is locally equivalent to a minimal 3-manifold in R3,3 with positive induced metric where R3,3~=H2(T4,R). By studying minimal surfaces in quadrics we show how to construct minimal 3-manifold cones in R3,3 and hence G2-metrics from a real form of the...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
URI: http://hdl.handle.net/1885/62076
Source: Journal of Geometry and Physics
DOI: 10.1016/j.geomphys.2010.07.006

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