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arxiv: math/0109184 · v1 · submitted 2001-09-24 · 🧮 math.DG

A new construction of Einstein self-dual metrics

classification 🧮 math.DG
keywords constructiongivemetricsself-dualansatzcharacterisationscomeconstructions
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We give a new construction of Ricci-flat self-dual metrics which is a natural extension of the Gibbons--Hawking ansatz. We also give characterisations of both these constructions, and explain how they come from harmonic morphisms.

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