Nonlinear Gravitons, Null Geodesics, and Holomorphic Disks

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dc.creatorLeBrun, Claude
dc.creatorMason, L. J.
dc.date2005-04-28
dc.date.accessioned2026-07-07T05:19:29Z
dc.date.available2026-07-07T05:19:29Z
dc.descriptionWe develop a global twistor correspondence for pseudo-Riemannian conformal structures of signature (++--) with self-dual Weyl curvature. Near the conformal class of the standard indefinite product metric on S^2 x S^2, there is an infinite-dimensional moduli space of such conformal structures, and each of these has the surprising global property that its null geodesics are all periodic. Each such conformal structure arises from a family of holomorphic disks in CP_3 with boundary on some totally real embedding of RP^3 into CP_3. An interesting sub-class of these conformal structures are represented by scalar-flat indefinite Kähler metrics, and our methods give particularly sharp results in this more restrictive setting.
dc.description56 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/0504582
dc.identifierhttp://arxiv.org/abs/math/0504582
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75037
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectComplex Variables
dc.subject53C50; 32L25;32G10; 14J30
dc.titleNonlinear Gravitons, Null Geodesics, and Holomorphic Disks
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