Spaces admitting homogeneous G(2)-structures

作者：Reidegeld Frank^*

来源：Differential Geometry and its Applications, 2010, 28(3): 301-312.

DOI：10.1016/j.difgeo.2009.10.013

• Cosymplectic G(2)-structures
• Homogeneous spaces

We classify all seven-dimensional manifolds which admit a homogeneous cosymplectic G(2)-structure. The motivation for this classification is that each of these spaces is a possible principal orbit of a parallel Spin(7)-manifold of cohomogeneity one.

• 出版日期2010-6