Twistorial harmonic morphisms with one-dimensional fibres on self-dual four-manifolds

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dc.creatorPantilie, R.
dc.creatorWood, J. C.
dc.date2003-05-07
dc.date2005-04-08
dc.date.accessioned2026-07-07T04:57:50Z
dc.date.available2026-07-07T04:57:50Z
dc.descriptionWe introduce a general notion of twistorial map and classify twistorial harmonic morphisms with one-dimensional fibres from self-dual four-manifolds. Such maps can be characterised as those which pull back Abelian monopoles to self-dual connections. In fact, the constructions involve solving a generalised monopole equation, and also the Beltrami fields equation of hydrodynamics, and lead to constructions of self-dual metrics.
dc.description39 pages, LaTeX 2e, using fancyheadings sty. Some minor improvements made. To appear in Q. J. Math
dc.identifierhttps://arxiv.org/abs/math/0305110
dc.identifierhttp://arxiv.org/abs/math/0305110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67400
dc.subjectDifferential Geometry
dc.subject58E20, 53C43
dc.titleTwistorial harmonic morphisms with one-dimensional fibres on self-dual four-manifolds
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