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arXiv · 0901.0652

Spaces admitting homogeneous G2-structures

Frank Reidegeld
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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.

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Frank Reidegeld. 2009-01-06. Spaces admitting homogeneous G2-structures. https://doi.org/10.1016/j.difgeo.2009.10.013

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