paper

Lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space

arXiv:1510.06164 · doi:10.1063/1.4936148

Abstract

Anti-de Sitter space is the Lorentzian space form with negative curvature. In this paper we consider lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space with general codimension. In particular, we investigate the singularities of lightlike hypersurfaces as an application of the theory of Legendrian singularities.