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

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2019-02-25

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Ssekajja, Samuel

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Abstract

In the present paper, we study non totally 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 any leaf of its screen distribution, then M is isometric to a product of a null curve and spheres.

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Lorentzian concircular structures, Minimal hypersurfaces, Null hypersurfaces

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https://africarxiv.ubuntunet.net/handle/1/1197
 https://doi.org/10.60763/africarxiv/1149
 https://doi.org/10.60763/africarxiv/1149
 https://doi.org/10.60763/africarxiv/1149

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