Metric and periodic lines in the Poincare ball model of hyperbolic geometry
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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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Journal title
volume 38 issue 3
pages 805- 815
publication date 2012-09-15
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