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Hokkaido University Preprint Series in Mathematics >
Projections of timelike surfaces in the de Sitter space
| Title: | Projections of timelike surfaces in the de Sitter space |
| Authors: | Izumiya, Shyuichi Browse this author | | Tari, Farid Browse this author |
| Keywords: | Asymptotic directions | | Gauss map | | hyperbolic space | | Legendrian duality | | lightcone | | principal directions | | projections | | singularities | | de Sitter space | | timelike surfaces |
| Issue Date: | 1-Dec-2008 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 930 |
| Start Page: | 1 |
| End Page: | 19 |
| Abstract: | We study in this paper projections of embedded timelike hypersurfaces $M$ in$S^n_1$ along geodesics. We deal in more details with the case of surfaces in $S^3_1$, characterise geometrically the singularities of the projections and prove duality results analogous to those of Shcherbak for central projections of surfaces in $¥mathbb{R}P^3$. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69738 |
| 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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