Dept. Math, Hokkaido Univ. EPrints Server

Singularities of lightcone Gauss images of spacelike hypersurfaces in de Sitter space

Preprint Series # 911
Kasedou, Masaki Singularities of lightcone Gauss images of spacelike hypersurfaces in de Sitter space. (2008);

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Abstract

We define the notions of lightcone Gauss images of spacelike hypersurfaces in de Sitter space. We investigate the relationships between singularities of these maps and geometric properties of spacelike hypersurfaces as an application of the theory of Legendrian singularities. We classify the singularities and give some examples in the generic case in de Sitter $3$-space.

Item Type:Preprint
Additional Information:30 copies
Uncontrolled Keywords:de Sitter space, Gauss image, spacelike hypersurface, lightcone
Subjects:53-xx DIFFERENTIAL GEOMETRY
58-xx GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS
ID Code:1857