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Metric and periodic lines in the Poincare ball model of hyperbolic geometry

Article 55, Volume 38, Issue 3, September 2012, Page 805-815  XML PDF (271 K)
Document Type: Research Paper
Authors
Oğuzhan Demirel 1; Emine Soyturk Seyrantepe2; N. Sonmez2
1Afyon Kocatepe University Faculty of Science and Arts ANS Campus
2Afyon Kocatepe University Faculty of Science and Arts
Abstract
In this paper, we prove that every metric line in the Poincare ball model of hyperbolic geometry is exactly a classical line of itself. We also proved nonexistence of periodic lines in the Poincare ball model of hyperbolic geometry.
Keywords
Metric spaces; Poincare ball model; hyperbolic geometry
Main Subjects
51-XX Geometry
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