Hyperkähler manifolds with circle actions and the Gibbons-Hawking Ansatz

Details Hyperkähler manifolds with circle actions and the Gibbons-Hawking Ansatz Hyperkähler manifolds with circle actions and the Gibbons-Hawking Ansatz

2009-10-05

arxiv.org/abs/0910.0672v2

Mathematics

Differential Geometry

This preprint is withdrawn since it is not ready for public presentation. See also the reference: R.Bielawski, Complete hyper-

Scientific paper

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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