abstract: In this talk we present a construction of homogeneous conformally parallel G2 structures on a class of solvmanifolds, which are solvable extensions of 6-dimensional nilpotent Lie groups endowed with an SU(3) structure. We relate the corresponding non homogeneous metrics with holonomy contained in G2 with known metrics and we show that the metrics found can be obtained evolving the SU(3) structure.
Reference: S.G. Chiossi and A. Fino: Conformally parallel G2 structures on a class of solvmanifolds (http:/it.arxiv.orgabsmath.DG0409137)