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PROJECTIONS OF PSEUDOSPHERE IN THE LORENTZ 3-SPACE
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 Title & Authors
PROJECTIONS OF PSEUDOSPHERE IN THE LORENTZ 3-SPACE
Birman, Graciela S.; Desideri, Graciela M.;
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 Abstract
In this paper, we study the map projections from pseudo-sphere onto the non-lightlike surfaces in the 3-dimensional Lorentzian space, , with curvature zero. We show geometrical means and properties of , and projections defined on to cylinders and , respectively, and orthographic and stereographic projections on to Lorentzian plane, .
 Keywords
cylindrical projection;stereographic projections;orthographic projection;Lorentzian space;Lorentzian geometry;
 Language
English
 Cited by
 References
1.
G. S. Birman and G. M. Desideri, Laplacian on mean curvature vector fields for some non-lightlike surfaces in the 3-dimensional Lorentzian space, Proceedings of the Seventh 'Dr. Antonio A. R. Monteiro' Congress of Mathematics (Spanish), 27-33, Univ. Nac. del Sur, Bahia Blanca, 2003

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H. S. M. Coxeter, Introduction to Geometry, second edition, John Wiley & Sons, Inc., New York, 1969

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B. O`Neill, Semi-Riemannian geometry, With applications to relativity. Pure and Applied Mathematics, 103. Academic Press, Inc., New York, 1983

4.
D. J. Struik, Lectures on Classical Differential Geometry, second edition, Dover Publica- tions, Inc., New York, 1961