## Geometry & Topology

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

Anna Lenzhen

#### 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 $Pℳℱ$.

#### Article information

Source
Geom. Topol., Volume 12, Number 1 (2008), 177-197.

Dates
Revised: 10 August 2007
Accepted: 25 October 2007
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.gt/1513800017

Digital Object Identifier
doi:10.2140/gt.2008.12.177

Mathematical Reviews number (MathSciNet)
MR2377248

Zentralblatt MATH identifier
1189.30086

#### Citation

Lenzhen, Anna. Teichmüller geodesics that do not have a limit in $\mathcal{PMF}$. Geom. Topol. 12 (2008), no. 1, 177--197. doi:10.2140/gt.2008.12.177. https://projecteuclid.org/euclid.gt/1513800017

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