G2-structure deformations and warped products

Details G2-structure deformations and warped products G2-structure deformations and warped products

2011-10-20

arxiv.org/abs/1110.4594v1

Mathematics

Differential Geometry

12 pages

Scientific paper

We overview the properties of non-infinitesimal deformations of G2-structures on seven-manifolds, and in particular, focus on deformations that lie in the seven-dimensional representation of G2 and are thus defined by a vector. We then consider deformations from G2-structures with the torsion class having one-dimensional and seven-dimensional components (so-called conformally nearly parallel G2-manifolds) to G2-structures with just a one-dimensional torsion component (nearly parallel G2-manifolds). We find that deformations between such structures exist if and only if the metric is a particular warped product metric.

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