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            | Abstract |  
            | We construct examples of Bach-flat gradient Ricci solitons in neutral signature which
 are neither half conformally flat nor conformally Einstein.
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            | Keywords
                gradient Ricci soliton, Bach tensor, Riemannian extension,
                affine surface
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            | Mathematical Subject Classification 2010
                Primary: 53C25
               
                Secondary: 53C20, 53C44
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            | Milestones
                Received: 26 July 2016
               
                Revised: 2 June 2017
               
                Accepted: 11 September 2017
               
                Published: 3 November 2017
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