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

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 نشر من قبل John C. Wood
 تاريخ النشر 2003
  مجال البحث
والبحث باللغة English
 تأليف R. Pantilie




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We 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.

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