Special metrics in $G_2$ geometry

Abstract

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.

Article for the Proceedings of the EGEO2005, Cordoba, Argentina

References in corpus (1)

• M theory and Singularities of Exceptional Holonomy Manifolds