%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