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arXiv · 1701.06471

The Gibbons-Hawking ansatz over a wedge

Martin de Borbon
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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. 2017-01-23. The Gibbons-Hawking ansatz over a wedge. https://doi.org/10.1016/j.geomphys.2017.06.002

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