LUNGIAMBUDILA MAMONA Oscar1*, NSIMBA KIBANGUDI Jonathan1, NZONGO LUBINGU Pascal2

Note on canonical screen distribution of lightlike hypersurface of R𝒎+𝟐𝒒 

In this paper, we present the construction of canonical screen distribution for lightlike hypersurface (lightlike cone) of semi-euclidean space according to Bejancu and Duggal approach. We prove that the canonical screen distribution for the lightlike cone of semi-euclidean space R𝑚+2 is integrable (Theorem 4.1), totally conformal (Theorem 4.3) and totally umbilical 𝑞 (Theorem 4.4). So we deduce some induced geometrical objects and properties of this lightlike cone.Téléchargé l'article