Half-flat structures on

Thomas Bruun Madsen,Simon Salamon

Annals of Global Analysis and Geometry（2013）

Department of Mathematics

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摘要

We describe left-invariant half-flat -structures on using the representation theory of and matrix algebra. This leads to a systematic study of the associated cohomogeneity one Ricci-flat metrics with holonomy obtained on -manifolds with equidistant hypersurfaces. The generic case is analysed numerically.

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关键词

\( \mathrm G _2\),- and,\( \mathrm{SU }(3) \),-structures,Einstein and Ricci-flat manifolds,Special and exceptional holonomy,Stable forms,Superpotential,Primary 53C25,53C29,Secondary 53C44,53D20,83E15,83E30

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