G_2-structures with torsion from half-integrable nilmanifolds

Details G_2-structures with torsion from half-integrable nilmanifolds G_2-structures with torsion from half-integrable nilmanifolds

2004-04-30

arxiv.org/abs/math/0404554v1

J. Geom. Phys. 54 (2005), no. 3, 262-285

Mathematics

Differential Geometry

24 pages

Scientific paper

10.1016/j.geomphys.2004.09.009

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.

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