Demirel, O., Soyturk Seyrantepe, E., Sonmez, N. (2012). Metric and periodic lines in the Poincare ball model of hyperbolic geometry. Bulletin of the Iranian Mathematical Society, 38(3), 805-815.
Oğuzhan Demirel; Emine Soyturk Seyrantepe; N. Sonmez. "Metric and periodic lines in the Poincare ball model of hyperbolic geometry". Bulletin of the Iranian Mathematical Society, 38, 3, 2012, 805-815.
Demirel, O., Soyturk Seyrantepe, E., Sonmez, N. (2012). 'Metric and periodic lines in the Poincare ball model of hyperbolic geometry', Bulletin of the Iranian Mathematical Society, 38(3), pp. 805-815.
Demirel, O., Soyturk Seyrantepe, E., Sonmez, N. Metric and periodic lines in the Poincare ball model of hyperbolic geometry. Bulletin of the Iranian Mathematical Society, 2012; 38(3): 805-815.
Metric and periodic lines in the Poincare ball model of hyperbolic geometry
1Afyon Kocatepe University Faculty of Science and Arts ANS Campus
2Afyon Kocatepe University Faculty of Science and Arts
Receive Date: 17 September 2009,
Revise Date: 19 January 2011,
Accept Date: 19 January 2011
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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