Hypersurfaces with Light-Like Points in a Lorentzian Manifold II
Abstract
In the authors' previous work, it was shown that if a zero mean curvature C4-differentiable hypersurface in an arbitrarily given Lorentzian manifold admits a degenerate light-like point, then the hypersurface contains a light-like geodesic segment passing through the point. The purpose of this paper is to point out that the same conclusion holds with just C3-differentiability of the hypersurfaces.
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