Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 162

On Nearly Parallel G2-Structures

Th. Friedrich, I. Kath. A. Moroianu, U. Semmelmann

A nearly parallel G_2-structure on a 7-dimensional Riemannian manifold is equivalent to a spin structure with a Killing spinor. We prove general results about the automorphism group of such structures and we construct new examples. We classify all nearly parallel G_2-manifolds with large symmetry and in particular all homogeneous nearly parallel G_2-structures.

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