Hypersurfaces with Light-Like Points in a Lorentzian Manifold II
Differential Geometry
2020-03-30 v1
Abstract
In the authors' previous work, it was shown that if a zero mean curvature -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 -differentiability of the hypersurfaces.
Keywords
Cite
@article{arxiv.2003.12254,
title = {Hypersurfaces with Light-Like Points in a Lorentzian Manifold II},
author = {Masaaki Umehara and Kotaro Yamada},
journal= {arXiv preprint arXiv:2003.12254},
year = {2020}
}
Comments
6 pages