Title of article :
METRIC AND PERIODIC LINES IN THE POINCARE BALL MODEL OF HYPERBOLIC GEOMETRY
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
From page :
805
To page :
815
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.
Keywords :
Metric spaces , Poincare ball model , hyperbolic geometry
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
Record number :
2672358
Link To Document :
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