A characterization of minimal ascreen null hypersurfaces of (LCS)-space forms

Authors

  • Samuel Ssekajja University of Witwatersrand

Keywords:

Null hypersurfaces, Minimal hypersurfaces, Lorentzian concircular structures

Abstract

In the present paper, we study nontotally geodesic minimal ascreen null hypersurface, M, of a Lorentzian concircular structure (LCS)-space form of constant curvature 0 or 1. We prove that; if the Ricci tensor of M is parallel with respect to a given leaf of its screen distribution, then M is isometric to a product of a null curve and spheres.

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Author Biography

Samuel Ssekajja, University of Witwatersrand

School of Mathematics,

University of Witwatersrand,

Private Bag 3, Wits 2050,

South Africa

 

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Published

2019-12-31

How to Cite

Ssekajja, S. (2019). A characterization of minimal ascreen null hypersurfaces of (LCS)-space forms. New Zealand Journal of Mathematics, 49, 15–29. Retrieved from https://nzjmath.org/index.php/NZJMATH/article/view/27

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Articles