Projections of timelike surfaces in the de Sitter space
Preprint Series # 930 Izumiya, Shyuichi and Tari , Farid Projections of timelike surfaces in the de Sitter space. (01 December 2008); AbstractWe 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 $¥mathbb{R}P^3$.
Item Type:  Preprint 

Uncontrolled Keywords:  Asymptotic directions, Gauss map, hyperbolic space, Legendrian duality, lightcone,
principal directions, projections, singularities, de Sitter space, timelike surfaces. 

Subjects:  53xx DIFFERENTIAL GEOMETRY 

ID Code:  1944 

