Half-Lightlike Submanifold of a Lorentzian Manifolds with a conformal co-screen distribution

2018/09/02 by Kaboye, Issa Allassane, Harouna, Mahamane Mahi, Mahaman, Bazanfaré
#53B30 #53C42 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1809.01982

Abstract

In this paper, we give the Cartan's formula for half-lightlike submanifolds of Lorentzian manifolds and use it to show that a screen homothetic half-lightlike submanifolds of a Lorentzian space form, with a conformal co-screen distribution are locally a lightlike triple product manifolds. Then we give a classification theorem for half-lightlike submanifolds of Lorentzian space form with constant screen principal curvatures. These results extend some results obtained in the case of lightlike hypersurfaces of Lorentzian manifolds ([1]).

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