Masaaki Umehara, Kotaro Yamada
Published 2020-03-27Version 1
In the authors' previous work, it was shown that if a zero mean curvature $C^4$-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 $C^3$-differentiability of the hypersurfaces.
Timelike surfaces with zero mean curvature in Minkowski 4-space
On rotational surfaces with zero mean curvature in the pseudo-Euclidean space $\mathbb{E}_2^4$
Surfaces in Sol$_3$ space foliated by circles
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