The Divergence of Two Hyperbolic Geodesics
Beardon, Alan; Minda, David
2011-11-19 00:00:00
Suppose that two particles in the hyperbolic plane are travelling along different geodesics at unit speed, and let d(t) be their distance apart at time t. It is shown that either d(t) tends to a finite limit, or d(t) — 2t tends to a finite limit, as t → +∞.
http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.pngComputational Methods and Function TheorySpringer Journalshttp://www.deepdyve.com/lp/springer-journals/the-divergence-of-two-hyperbolic-geodesics-3j0JQkE8L7
Suppose that two particles in the hyperbolic plane are travelling along different geodesics at unit speed, and let d(t) be their distance apart at time t. It is shown that either d(t) tends to a finite limit, or d(t) — 2t tends to a finite limit, as t → +∞.
Journal
Computational Methods and Function Theory
– Springer Journals
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