TY - JOUR
ID - 242
TI - Metric and periodic lines in the Poincare ball model of hyperbolic geometry
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Demirel, Oğuzhan
AU - Soyturk Seyrantepe, Emine
AU - Sonmez, N.
AD - Afyon Kocatepe University
Faculty of Science and Arts
ANS Campus
AD - Afyon Kocatepe University
Faculty of Science and Arts
AD - Afyon Kocatepe University Faculty of Science and Arts
Y1 - 2012
PY - 2012
VL - 38
IS - 3
SP - 805
EP - 815
KW - Metric spaces
KW - Poincare ball model
KW - hyperbolic geometry
DO -
N2 - 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.
UR - http://bims.iranjournals.ir/article_242.html
L1 - http://bims.iranjournals.ir/article_242_44e4e1fc911f68b5a8f2e6d83dc55e4a.pdf
ER -