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The Divergence of Two Hyperbolic Geodesics

The Divergence of Two Hyperbolic Geodesics 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.png Computational Methods and Function Theory Springer Journals

The Divergence of Two Hyperbolic Geodesics

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Publisher
Springer Journals
Copyright
Copyright © 2012 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321815
Publisher site
See Article on Publisher Site

Abstract

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 TheorySpringer Journals

Published: Nov 19, 2011

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