Einstein-Weyl structures on lightike hypersurfaces

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dc.creatorAtindogbe, Cyriaque
dc.creatorBergery, Lionel Bérard
dc.date2007-04-25
dc.date.accessioned2026-07-07T07:58:13Z
dc.date.available2026-07-07T07:58:13Z
dc.descriptionWe study Weyl structures on lightlikes hypersurfaces endowed with a conformal structure of certain type and specific screen distribution: the Weyl screen structures. We investigate various differential geometric properties of Einstein-Weyl screen structures on lightlike hypersurfaces and show that, for ambiant Lorentzian space $\mathbb{R}^{n+2}_{1}$ and a totally umbilical screen foliation, there is a strong interplay with the induced (Riemannian) Weyl-structure on the leaves. Finally, we establish necessary and sufficient conditions for a Weyl structure defined by the $1-$form of an almost contact structure given by an additional complex structure in case of an ambiant Kaehler manifold to be closed.
dc.descriptionsoumis
dc.identifierhttps://arxiv.org/abs/0704.3383
dc.identifierhttp://arxiv.org/abs/0704.3383
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127928
dc.subjectDifferential Geometry
dc.subject53C50, 53C05, 53C25
dc.titleEinstein-Weyl structures on lightike hypersurfaces
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