G2-structures with torsion from half-integrable nilmanifolds

The equations for a G(2)-structure with torsion on a product M-7 = N-6 x S-1 are studied in relation to the induced SU(3)-structure on N-6. All solutions are found in the case when the Lee-form of the G(2)-structure is non-zero and N-6 is a six-dimensional nilmanifold with half-integrable SU(3)-structure. Special properties of the torsion of these solutions are discussed. (c) 2004 Elsevier B.V. All rights reserved.