Abstract

CHIOSSI, Simon G.  and  FINO, Anna. Special metrics in G₂ geometry. Rev. Unión Mat. Argent. [online]. 2006, vol.47, n.1, pp.35-49. ISSN 0041-6932.

We discuss metrics with holonomy G₂ by presenting a few crucial examples and review a series of G₂ manifolds constructed via solvable Lie groups, obtained in [15]. These carry two related distinguished metrics, one negative Einstein and the other in the conformal class of a Ricci-flat metric, plus other features considered definitely worth investigating.

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