1. Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy;2. Department of Mathematics, King?s College London, Strand, London WC2L 2RS, UK
Abstract:
We establish the existence of solvable Lie groups of dimension 4 and left-invariant Riemannian metrics with zero Bach tensor which are neither conformally Einstein nor half conformally flat.