#### Volume 12, issue 1 (2008)

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Teichmüller geodesics that do not have a limit in $\mathcal{PMF}$

### Anna Lenzhen

Geometry & Topology 12 (2008) 177–197
##### Abstract

We construct a Teichmüller geodesic which does not have a limit on the Thurston boundary of the Teichmüller space. We also show that for this construction the limit set is contained in a one-dimensional simplex in $\mathsc{P}\mathsc{ℳ}\mathsc{ℱ}$.

##### Keywords
Teichmüller space, Thurston's boundary, geodesic, limit set
##### Mathematical Subject Classification 2000
Primary: 30F60, 32G15
Secondary: 32F45, 57M50