Moduli of Coassociative Submanifolds and Semi-Flat Coassociative Fibrations

Details Moduli of Coassociative Submanifolds and Semi-Flat Coassociative Fibrations Moduli of Coassociative Submanifolds and Semi-Flat Coassociative Fibrations

2009-02-12

arxiv.org/abs/0902.2135v2

Journal of Geometry and Physics 60 (2010), pp. 1903-1918

Mathematics

Differential Geometry

25 pages, added section on global aspects

Scientific paper

10.1016/j.geomphys.2010.07.006

We study the natural structure on the moduli space of deformations of compact coassociative submanifolds. We show that a G2-manifold with a T^4-action of isomorphisms such that the orbits are coassociative tori is locally equivalent to a minimal 3-manifold in R^{3,3} = H^2(T^4,R) with positive induced metric. By studying minimal surfaces in quadrics we show how to construct minimal 3-manifold cones in R^{3,3} and hence G2-metrics from equations similar to a set of affine Toda equations. The relation to semi-flat special Lagrangian fibrations and the Monge-Amp\`ere equation are explained.

Affiliated with

Also associated with

No associations

Rating

Moduli of Coassociative Submanifolds and Semi-Flat Coassociative Fibrations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Moduli of Coassociative Submanifolds and Semi-Flat Coassociative Fibrations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moduli of Coassociative Submanifolds and Semi-Flat Coassociative Fibrations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-556688