2008/03/27 by Letizia Brunetti, Brunetti, Letizia, Anna Maria Pastore +1
Mathematics · #53C40 #53C50 #53D10 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:53C40 #msc:53C50 #msc:53D10
paper · pdf · doi:10.48550/arxiv.0803.3896
19 pages, no figures
arxiv created 2008/03/27 · openalex publication_date 2008/03/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In 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 S-structure on the leaves of an integrable distribution. The existence of totally umbilical lightlike hypersurfaces of an indefinite S-space form is also discussed. Finally, we explicitely describe a lightlike hypersurface of an indefinite S-manifold.