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Projections of pseudosphere in the Lorentz 3-space
Graciela S. Birman,Graciela M. Desideri 대한수학회 2007 대한수학회보 Vol.44 No.3
In this paper, we study the map projections from pseudo-sphere S21 onto the non-lightlike surfaces in the 3-dimensional Lorentzianspace,L3;with curvature zero. We show geometrical means and proper-ties ofR S11 cylindrical, S1 L cylindrical and R H 10 cylindricalprojections dened on S21 to cylinders R S11 ; S1 L and R H 10 ,respectively, and orthographic and stereographic projections on S21 toLorentzian plane, L2.
PROJECTIONS OF PSEUDOSPHERE IN THE LORENTZ 3-SPACE
Birman, Graciela S.,Desideri, Graciela M. Korean Mathematical Society 2007 대한수학회보 Vol.44 No.3
In this paper, we study the map projections from pseudo-sphere $S_1^2$ 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, $L^2$.