Light like hypersurfaces along spacelike submanifolds in Minkowski space-time

JOURNAL OF GEOMETRY AND PHYSICS

卷:71

Article

Izumiya, Shyuichi¹  Sato, Takami¹ 

[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

关键词: Lorentz-Minkowski space;    Lightlike hypersurface;    Spacelike submanifold;    Singularities;    Lightcone;   

DOI  :  10.1016/j.geomphys.2013.03.005

来源: Elsevier

【 摘 要 】

We consider the singularities of lightlike hypersurfaces along spacelike submanifolds in Lorentz-Minkowski space of general codimension. As an application of the theory of Legendrian singularities, we investigate the geometric meanings of the singularities of lightlike hypersurfaces in terms of the contact of spacelike submanifolds with lightcones. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free