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 Projections of pseudosphere in the Lorentz 3-space Bull. Korean Math. Soc. 2007 Vol. 44, No. 3, 483-492 Printed September 1, 2007 Graciela S. Birman and Graciela M. Desideri Unicen University, Unicen University Abstract : In this paper, we study the map projections from pseudosphere $S_{1}^{2}$ onto the non-lightlike surfaces in the 3-dimensional Lorentzian space, $% L^{3},$ with curvature zero. We show geometrical means and properties of $% \mathbb{R}\times S_{1}^{1}-$cylindrical, $S^{1}\times L-$cylindrical and $% \mathbb{R}\times H_{0}^{1}-$cylindrical projections defined on $S_{1}^{2}$ to cylinders $\mathbb{R}\times S_{1}^{1},$ $S^{1}\times L$ and $\mathbb{R}% \times H_{0}^{1}$, respectively, and orthographic and stereographic projections on $S_{1}^{2}$ to Lorentzian plane, $L^{2}$. Keywords : cylindrical projection, stereographic projections, orthographic projection, Lorentzian space, Lorentzian geometry MSC numbers : 53B30, 53C50 Downloads: Full-text PDF