Self-Dual metrics on non-simply connected 4-manifolds

H\"ulya Arg\"uz; Mustafa Kalafat; Y{\i}ld{\i}ray Ozan

arxiv: 1108.0433 · v4 · pith:5ED3FL5Mnew · submitted 2011-08-01 · 🧮 math.DG · math.GT

Self-Dual metrics on non-simply connected 4-manifolds

H\"ulya Arg\"uz , Mustafa Kalafat , Y{\i}ld{\i}ray Ozan This is my paper

classification 🧮 math.DG math.GT

keywords metricsconnectedconstructmanifoldsnon-simplyself-dualaddressesapplication

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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.

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Self-Dual metrics on non-simply connected 4-manifolds

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