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arXiv · 1510.06164

Lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space

Shyuichi Izumiya
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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.

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Shyuichi Izumiya. 2015-10-21. Lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space. https://doi.org/10.1063/1.4936148

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