PROJECTIONS OF PSEUDOSPHERE IN THE LORENTZ 3-SPACE

Title & Authors
PROJECTIONS OF PSEUDOSPHERE IN THE LORENTZ 3-SPACE
Birman, Graciela S.; Desideri, Graciela M.;

Abstract
In this paper, we study the map projections from pseudo-sphere $\small{S_1^2}$ onto the non-lightlike surfaces in the 3-dimensional Lorentzian space, $\small{L^3}$, with curvature zero. We show geometrical means and properties of $\small{\mathbb{R}{\times}S_1^1-cylindrical}$, $\small{S^1{\times}L-cylindrical}$ and $\small{\mathbb{R}{\times}H_0^1-cylindrical}$ projections defined on $\small{S_1^2}$ to cylinders $\small{\mathbb{R}{\times}S_1^1,\;S^1{\times}L}$ and $\small{\mathbb{R}{\times}H_0^1}$, respectively, and orthographic and stereographic projections on $\small{S_1^2}$ to Lorentzian plane, $\small{L^2}$.
Keywords
cylindrical projection;stereographic projections;orthographic projection;Lorentzian space;Lorentzian geometry;
Language
English
Cited by
References
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