Ricci semi-symmetric null hypersurfaces in a Lorentzian space form

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Document Type : Original Article

Author

Department of Mathematics, University of Dan Dicko Dankoulodo de Maradi, Niger

Abstract

In this paper, we study Ricci semi-symmetric null hypersurfaces in a Lorentzian space form. We give a necessary and sufficient condition for a screen quas-conformal null hypersurface to be Ricci semi-symmetric. We show that every screen quasi-conformal null hypersurface M of R1m+2 such that rank *Aξ < m is Ricci semi-symmetric. Next, we give a local classification of a Ricc semi-symmetric screen conformal null hypersurface of a Lorentzian space form.

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References

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Journal of Finsler Geometry and its Applications

Articles in Press, Accepted Manuscript
Available Online from 13 March 2025

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