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arXiv · 0910.0672

Hyperkähler manifolds with circle actions and the Gibbons-Hawking Ansatz

Mustafa Kalafat·Justin Sawon
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Abstract

We show that a complete simply-connected hyperkaehler 4-manifold with an isometric triholomorphic circle action is obtained from the Gibbons-Hawking ansatz with some suitable harmonic function.

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BibTeXRIS

Mustafa Kalafat, Justin Sawon. 2010-09-27. Hyperkähler manifolds with circle actions and the Gibbons-Hawking Ansatz. https://arxiv.org/abs/0910.0672

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