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Bach-flat Lie groups in dimension 4
Authors:Elsa Abbena  Sergio Garbiero  Simon Salamon
Institution: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.
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