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arxiv: 0804.2132 · v1 · submitted 2008-04-14 · 🧮 math.DG

Geometry of neutral metrics in dimesnion four

classification 🧮 math.DG
keywords neutralmetricsahlerfourgeometryspacestwistoranti-self-dual
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The purpose of this article is to review some recent results on the geometry of neutral signature metrics in dimension four and their twistor spaces. The following topics are considered: Neutral K\"ahler and hyperk\"ahler surfaces, Walker metrics, Neutral anti-self-dual 4-manifolds and projective structures, Twistor spaces of neutral metrics.

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