Harmonic morphisms between Weyl spaces and twistorial maps II

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dc.creatorLoubeau, Eric
dc.creatorPantilie, Radu
dc.date2006-10-23
dc.date2007-06-06
dc.date.accessioned2026-07-07T08:04:15Z
dc.date.available2026-07-07T08:04:15Z
dc.descriptionWe define, on smooth manifolds, the notions of almost twistorial structure and twistorial map, thus providing a unified framework for all known examples of twistor spaces. The condition of being harmonic morphisms naturally appears among the geometric properties of submersive twistorial maps between low-dimensional Weyl spaces endowed with a nonintegrable almost twistorial structure due to Eells and Salamon. This leads to the twistorial characterisation of harmonic morphisms between Weyl spaces of dimensions four and three. Also, we give a thorough description of the twistorial maps with one-dimensional fibres from four-dimensional Weyl spaces endowed with the almost twistorial structure of Eells and Salamon.
dc.descriptionminor corrections
dc.identifierhttps://arxiv.org/abs/math/0610676
dc.identifierhttp://arxiv.org/abs/math/0610676
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129885
dc.subjectDifferential Geometry
dc.subjectPrimary 53C43, Secondary 53C28
dc.titleHarmonic morphisms between Weyl spaces and twistorial maps II
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