@article {
author = {Demirel, Oğuzhan and Soyturk Seyrantepe, Emine and Sonmez, N.},
title = {Metric and periodic lines in the Poincare ball model of hyperbolic geometry},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {38},
number = {3},
pages = {805-815},
year = {2012},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {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.},
keywords = {Metric spaces,Poincare ball model,hyperbolic geometry},
url = {http://bims.iranjournals.ir/article_242.html},
eprint = {http://bims.iranjournals.ir/article_242_44e4e1fc911f68b5a8f2e6d83dc55e4a.pdf}
}