On nearly parallel G_2-structures
Abstract
A nearly parallel G_2-structure on a seven-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 group and in particular all homogeneous nearly parallel G_2-structures.
Domains
Differential Geometry [math.DG]
Origin : Files produced by the author(s)