Special metrics in $G_2$ geometry

Mathematics – Differential Geometry

Scientific paper

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Article for the Proceedings of the EGEO2005, Cordoba, Argentina

Scientific paper

We review a recent series of $G_2$ manifolds constructed via solvable Lie
groups obtained in math.DG/0409137. They carry two related distinguished
metrics, one negative Einstein and the other in the conformal class of a
Ricci-flat metric.

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