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Lightcone dualities for hypersurfaces in the sphere |
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| Authors: | Shyuichi Izumiya Yang Jiang Donghe Pei |
| Affiliation: | 1. Department of Mathematics, Hokkaido University, Japan;2. College of Math. and Systematic Science, Shenyang Normal University, Shenyang, P. R. China;3. School of Mathematics and Statistics, Northeast Normal University, Changchun, P. R. China |
| Abstract: | In this paper, we consider hypersurfaces in the unit lightlike sphere. The unit sphere can be canonically embedded in the lightcone and de Sitter space in Minkowski space. We investigate these hypersurfaces in the framework of the theory of Legendrian dualities between pseudo‐spheres in Minkowski space. |
| Keywords: | Minkowski space lightcone duality the unit sphere singularity contact 53A35 58C27 |