Spaces admitting homogeneous G2-structures
classification
🧮 math.DG
keywords
spaceshomogeneousadmitadmittingclassificationclassifycohomogeneitycosymplectic
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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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