Quaternionic geometry in dimension eight

Diego Conti; Thomas Bruun Madsen; Simon Salamon

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arXiv · 1610.04833

Quaternionic geometry in dimension eight

Diego Conti·Thomas Bruun Madsen·Simon Salamon

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Abstract

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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Diego Conti, Thomas Bruun Madsen, Simon Salamon. 2016-10-16. Quaternionic geometry in dimension eight. https://arxiv.org/abs/1610.04833

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