Deformations of G2-structures with torsion

Details Deformations of G2-structures with torsion Deformations of G2-structures with torsion

2011-08-11

arxiv.org/abs/1108.2465v2

Mathematics

Differential Geometry

34 pages

Scientific paper

We consider non-infinitesimal deformations of G2-structures on 7-dimensional manifolds and derive an exact expression for the torsion of the deformed G2-structure. We then specialize to a case when the deformation is defined by a vector v and we explicitly derive the expressions for the different torsion components of the new G2-structure in terms of the old torsion components and derivatives of v. In particular this gives a set of differential equations for the vector v which have to be satisfied for a transition between G2-structures with particular torsions. For some specific torsion classes we find that these equations have no solutions.

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