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

Issa Allassane Kaboye; Mahamane Mahi Harouna; Bazanfaré Mahaman

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arXiv · 1809.01982

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

Issa Allassane Kaboye·Mahamane Mahi Harouna·Bazanfaré Mahaman

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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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Issa Allassane Kaboye, Mahamane Mahi Harouna, Bazanfaré Mahaman. 2018-09-02. Half-Lightlike Submanifold of a Lorentzian Manifolds with a conformal co-screen distribution. https://arxiv.org/abs/1809.01982

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