Spacelike submanifolds of codimension two in anti-de Sitter space |
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Authors: | Donghe Pei |
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Affiliation: | School of Mathematics and Statistics, Northeast Normal University , Changchun, P.R. China. |
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Abstract: | In this paper, we study spacelike submanifolds of codimension two in anti-de Sitter space from the viewpoint of Legendrian singularity theory. We introduce the notion of the anti-de Sitter normalized Gauss map which is a generalization of the ordinary notion of Gauss map of hypersurfaces in Euclidean space. We also introduce the AdS-normalized Gauss–Kronecker curvature for a spacelike submanifold of codimention two in anti-de Sitter space. In the local sense, this curvature describes the contact of submanifolds with some model surfaces. |
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Keywords: | Anti-de Sitter space AdS-nomalized Gauss map lightlike hypersurface AdS-hyperhorosphere |
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