Divergence et parallélisme des rayons d'étirement cylindriques

Details Divergence et parallélisme des rayons d'étirement cylindriques Divergence et parallélisme des rayons d'étirement cylindriques

2009-07-10

arxiv.org/abs/0907.1746v1

Mathematics

Geometric Topology

13 pages, 2 figures

Scientific paper

A cylindrical stretch line is a stretch line, in the sense of Thurston, whose
horocyclic lamination is a weighted multicurve. In this paper, we show that two
correctly parameterized cylindrical lines are parallel if and only if these
lines converge towards the same point in Thurston's boundary of Teichm\"uller
space.

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