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

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

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.

Библиографические подробности
Главные авторы:	LeBrun, C, Mason, L
Формат:	Journal article
Язык:	English
Опубликовано:	2008

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