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

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dc.creatorLeBrun, Claude
dc.creatorMason, L. J.
dc.date2008-06-23
dc.date2008-07-22
dc.date.accessioned2026-07-07T09:52:16Z
dc.date.available2026-07-07T09:52:16Z
dc.descriptionWe 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.
dc.description11 pages, LaTeX2e. Revised version strengthens result and completes proof
dc.identifierhttps://arxiv.org/abs/0806.3761
dc.identifierhttp://arxiv.org/abs/0806.3761
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165536
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectComplex Variables
dc.subjectSymplectic Geometry
dc.subject53C28, 53C50, 32H02, 32Q65
dc.titleThe Einstein-Weyl Equations, Scattering Maps, and Holomorphic Disks
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