论文标题
Lorentzian歧管II中具有轻度点的高空曲面II
Hypersurfaces with Light-Like Points in a Lorentzian Manifold II
论文作者
论文摘要
在作者之前的工作中，显示出零平均曲率$ c^4 $ - 可分辨率的超脸，在任意给定的Lorentzian歧管中承认了一个类似脱位的光点，则超出表面包含一个光明的地理段。本文的目的是指出同样的结论仅与Hypersurfaces的$ C^3 $不同。
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.
