Author/Authors :
Demirel, Oguzhan Afyon Kocatepe University - Faculty of Science and Literature, ANS Campus - Department of Mathematics, Turkey , Soytürk Seyrantepe, Emine Afyon Kocatepe University - Faculty of Science and Literature, ANS Campus - Department of Mathematics, Turkey , Sönmez, Nilgün Afyon Kocatepe University - Faculty of Science and Literature, ANS Campus - Department of Mathematics, Turkey
Abstract :
In this paper, we prove that every metric line in the Poincare ball model of hyperbolic geometry is exactly a classical line of it. We also prove nonexistence of periodic lines in the Poincare ball model of hyperbolic geometry.