Metric and periodic lines in the Poincare ball model of hyperbolic geometry

Document Type : Research Paper

Authors

1 Afyon Kocatepe University Faculty of Science and Arts ANS Campus

2 Afyon Kocatepe University Faculty of Science and Arts

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.

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