English

Spaces admitting homogeneous G2-structures

Differential Geometry 2010-06-04 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0901.0652,
  title  = {Spaces admitting homogeneous G2-structures},
  author = {Frank Reidegeld},
  journal= {arXiv preprint arXiv:0901.0652},
  year   = {2010}
}

Comments

20 pages, no figures

R2 v1 2026-06-21T11:57:57.117Z