Self-Dual metrics on non-simply connected 4-manifolds
  We construct self-dual(SD) but not locally conformally flat(LCF) metrics on families of non-simply connected 4-manifolds with small signature. We construct various sequences with bounded or unbounded Betti numbers and Euler characteristic. These metrics have negative scalar curvature. As an application, this addresses the Remark 4.79 of Besse. 
H\"ulya Arg\"uz, Mustafa Kalafat, Y{\i}ld{\i}ray Ozan
math.DG math.GT