Twistorial constructions of spacelike surfaces in Lorentzian 4-manifolds

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dc.creatorLeitner, Felipe
dc.date1999-02-17
dc.date.accessioned2026-07-07T05:27:57Z
dc.date.available2026-07-07T05:27:57Z
dc.descriptionWe investigate the twistor space and the Grassmannian fibre bundle of a Lorentzian 4-space with natural almost optical structures and its induced CR-structures. The twistor spaces of the Lorentzian space forms $\R^4_1, \Di{S}^4_1$ and $\Di{H}^4_1$ are explicitly discussed. The given twistor construction is applied to surface theory in Lorentzian 4-spaces. Immersed spacelike surfaces in a Lorentzian 4-space with special geometric properties like semi-umbilic surfaces and surfaces that have mean curvature of vanishing lengths correspond to holomorphic curves in the Lorentzian twistor space. For the Lorentzian space forms $\R^4_1, \Di{S}^4_1$ and $\Di{H}^4_1$ those surfaces are explicitly constructed and classified.
dc.descriptionLatex2.09, 26 pages
dc.identifierhttps://arxiv.org/abs/math/9902101
dc.identifierhttp://arxiv.org/abs/math/9902101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78117
dc.subjectDifferential Geometry
dc.subject53A10, 53C50
dc.titleTwistorial constructions of spacelike surfaces in Lorentzian 4-manifolds
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