Compatible Complex Structures on Twistor Spaces

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dc.creatorDeschamps, Guillaume
dc.date2008-10-07
dc.date.accessioned2026-07-07T10:08:04Z
dc.date.available2026-07-07T10:08:04Z
dc.descriptionLet (M,g) be a Riemannian 4-manifold. The twistor space Z->M is a CP1-bundle whose total space Z admits a natural metric h. The aim of this article is to study properties of complex structures on (Z,h) which are compatible with the CP1-fibration and the metric h. The results obtained enable us to translate some metric properties on M in terms of complex properties on its twistor space Z.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0810.1135
dc.identifierhttp://arxiv.org/abs/0810.1135
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170867
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.titleCompatible Complex Structures on Twistor Spaces
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