Lightlike hypersurfaces in indefinite $\mathcal{S}$-manifolds

Simple item page
dc.creatorBrunetti, Letizia
dc.creatorPastore, Anna Maria
dc.date2008-03-27
dc.date.accessioned2026-07-07T09:28:47Z
dc.date.available2026-07-07T09:28:47Z
dc.descriptionIn a metric $g.f.f$-manifold we study lightlike hypersurfaces $M$ tangent to the characteristic vector fields, and owing to the presence of the $f$-structure, we determine some decompositions of $TM$ and of a chosen screen distribution obtaining two distributions invariant with respect to the structure. We discuss the existence of a $g.f.f$-structure on a lightlike hypersurface and, under suitable hypotheses, we obtain an indefinite $\mathcal{S}$-structure on the leaves of an integrable distribution. The existence of totally umbilical lightlike hypersurfaces of an indefinite $\mathcal{S}$-space form is also discussed. Finally, we explicitely describe a lightlike hypersurface of an indefinite $\mathcal{S}$-manifold.
dc.description19 pages, no figures
dc.identifierhttps://arxiv.org/abs/0803.3896
dc.identifierhttp://arxiv.org/abs/0803.3896
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157549
dc.subjectDifferential Geometry
dc.subject53C40; 53C50; 53D10
dc.titleLightlike hypersurfaces in indefinite $\mathcal{S}$-manifolds
dc.typetext

Files

Collections

arXiv