English

Lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space

Differential Geometry 2015-12-09 v1

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.

Keywords

Cite

@article{arxiv.1510.06164,
  title  = {Lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space},
  author = {Shyuichi Izumiya},
  journal= {arXiv preprint arXiv:1510.06164},
  year   = {2015}
}