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arxiv: 1610.04833 · v1 · pith:OPURWOF7new · submitted 2016-10-16 · 🧮 math.DG

Quaternionic geometry in dimension eight

classification 🧮 math.DG
keywords carryclosedcohomogeneitydescribedimensiondimensionaldiscovereight
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We describe the 8-dimensional Wolf spaces as cohomogeneity one SU(3)-manifolds, and discover perturbations of the quaternion-kaehler metric on the simply-connected 8-manifold G_2/SO(4) that carry a closed fundamental 4-form but are not Einstein.

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