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

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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.

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  1. Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

    Masaki Kasedou

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  1. Masaki Kasedou
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Correspondence to Masaki Kasedou.

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Kasedou, M. Singularities of lightcone Gauss images of spacelike hypersurfaces in de Sitter space. J. Geom. 94, 107–121 (2009). https://doi.org/10.1007/s00022-009-0001-y

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  • DOI: https://doi.org/10.1007/s00022-009-0001-y

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