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
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