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Hokkaido University Preprint Series in Mathematics >
Singularities of lightcone Gauss images of spacelike hypersurfaces in de Sitter space
| Title: | Singularities of lightcone Gauss images of spacelike hypersurfaces in de Sitter space |
| Authors: | Kasedou, Masaki Browse this author |
| Keywords: | de Sitter space | | Gauss image | | spacelike hypersurface | | lightcone |
| Issue Date: | 2008 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 911 |
| Start Page: | 1 |
| End Page: | 17 |
| 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69719 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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