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# Projections of timelike surfaces in the de Sitter space

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 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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