The Gibbons-Hawking ansatz over a wedge

Published 23 Jan 2017 in math.DG | (1701.06471v1)

Abstract: We discuss the Ricci-flat `model metrics' on $\mathbb{C}^2$ with cone singularities along the conic ${zw=1}$ constructed by Donaldson using the Gibbons-Hawking ansatz over wedges in $\mathbb{R}^3$. In particular we describe their asymptotic behavior at infinity and compute their energies.

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Martin de Borbon

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