RT Journal Article T1 Conformally Einstein and Bach-flat four-dimensional homogeneous manifolds A1 Calviño Louzao, Esteban A1 García Martínez, Xabier A1 García Río, Eduardo A1 Gutierrez Rodriguez, Ixchel Dzohara A1 Vázquez Lorenzo, Ramón K1 12 Matemáticas K1 1204.04 Geometría Diferencial AB Homogeneous conformally Einstein manifolds are classified in dimension four. As a consequence we show that any homogeneous strictly Bach-flat four-dimensional manifold is homothetic to one of the examples constructed by Abbena, Garbiero and Salamon in PB Journal de Mathématiques Pures et Appliquées SN 00217824 YR 2019 FD 2019-10 LK http://hdl.handle.net/11093/7892 UL http://hdl.handle.net/11093/7892 LA eng NO Journal de Mathématiques Pures et Appliquées, 130, 347-374 (2019) NO Xunta de Galicia | Ref. ED431F 2017/03 DS Investigo RD 17-mar-2025