On nearly parallel G2-structures
[摘要] 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 ail nearly parallel Gz-manifolds with large symmetry group and in particular all homogeneous nearly parallel G(2)-structures.
[发布日期] 1997-11-01 [发布机构]
[效力级别] [学科分类]
[关键词] G(2)-structure;Sasakian manifold;Killing spinor [时效性]