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

• Autores: Claude LeBrun, L. J. Mason
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 16, Nº 2-3, 2009, págs. 291-301
• Idioma: inglés
• DOI: 10.4310/mrl.2009.v16.n2.a7
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• Resumen

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