Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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

Document Type : Research Paper

Authors
1 Afyon Kocatepe University Faculty of Science and Arts ANS Campus
2 Afyon 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.
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Subjects

Volume 38, Issue 3 - Serial Number 3
September 2012
Pages 805-815

  • Receive Date 17 September 2009
  • Revise Date 19 January 2011
  • Accept Date 19 January 2011