%0 Journal Article %T Metric and periodic lines in the Poincare ball model of hyperbolic geometry %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Demirel, Oğuzhan %A Soyturk Seyrantepe, Emine %A Sonmez, N. %D 2012 %\ 09/15/2012 %V 38 %N 3 %P 805-815 %! Metric and periodic lines in the Poincare ball model of hyperbolic geometry %K Metric spaces %K Poincare ball model %K hyperbolic geometry %R %X 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. %U http://bims.iranjournals.ir/article_242_44e4e1fc911f68b5a8f2e6d83dc55e4a.pdf