Resumen de Ambient metrics with exceptional holonomy

Thomas Leistner, Pawel Nurowski

• We present conformal structures in signature (3, 2) for which the holonomy of the Fefferman-Graham ambient metric is equal to the non-compact exceptional Lie group G2(2). We write down the resulting 8-parameter family of G2(2)-metrics in dimension seven explicitly in an appropriately chosen coordinate system on the ambient space.