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arXiv · 0806.3761

The Einstein-Weyl Equations, Scattering Maps, and Holomorphic Disks

Claude LeBrun·L. J. Mason
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Abstract

We show that conformally compact, globally hyperbolic, Lorentzian Einstein-Weyl 3-manifolds are in natural one-to-one correspondence with orientation-reversing diffeomorphisms of the 2-sphere. The proof hinges on a holomorphic-disk analog of Hitchin's mini-twistor correspondence.

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BibTeXRIS

Claude LeBrun, L. J. Mason. 2008-07-22. The Einstein-Weyl Equations, Scattering Maps, and Holomorphic Disks. https://arxiv.org/abs/0806.3761

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