Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915Metric and periodic lines in the Poincare ball model of hyperbolic geometry805815242ENOğuzhanDemirelAfyon Kocatepe University
Faculty of Science and Arts
ANS CampusEmineSoyturk SeyrantepeAfyon Kocatepe University
Faculty of Science and ArtsN.SonmezAfyon Kocatepe University Faculty of Science and ArtsJournal Article20090917In 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.http://bims.iranjournals.ir/article_242_44e4e1fc911f68b5a8f2e6d83dc55e4a.pdf