G2-structures with torsion from half-integrable nilmanifolds
Simon Chiossi, Andrew Swann
Abstract
The equations for a G2-structure with torsion on a product M7 = N6 x S1 are studied in relation to the induced SU(3)-structure on N6. All solutions are found in the case when the Lee-form of the G2-structure is non-zero and N6 is a six-dimensional nilmanifold with half-integrable SU(3)-structure. Special properties of the torsion of these solutions are discussed.
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