Spaces admitting homogeneous G2-structures

Details Spaces admitting homogeneous G2-structures Spaces admitting homogeneous G2-structures

2009-01-06

arxiv.org/abs/0901.0652v1

Differential Geometry and its Applications 28 (2010) 301-312. The published version contains an additional section

Mathematics

Differential Geometry

20 pages, no figures

Scientific paper

10.1016/j.difgeo.2009.10.013

We classify all seven-dimensional spaces which admit a homogeneous
cosymplectic G2-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.

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