The horoboundary and isometry group of Thurston's Lipschitz metric

By Cormac Walsh. 2010

83 citations recorded by the source corpus.

We show that the horofunction boundary of Teichmuller space with Thurston's Lipschitz metric is the same as the Thurston boundary. We use this to determine the isometry group of the Lipschitz metric, apart from in some exceptional cases. We also show that the Teichmuller spaces of different surfaces, when endowed with this metric, are not isometric, again with some possible exceptions of low genus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/0c4608390ad5f1f38aec53204e60d107a1b96e91

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In Applied Mathematics

1. Michael Kapovich
2. B. Leeb
3. J. Porti

In Geometry and Topology

1. Michael Kapovich
2. B. Leeb
3. J. Porti
4. Anna Wienhard
5. Jean-Marc Schlenker
6. Olivier Y Guichard
7. William M. Goldman
8. Bruce Kleiner

Citations in the corpus

• Finsler bordifications of symmetric and certain locally symmetric spaces (2015, result): “In this section we describe these notions in the context of nonsymmetric metrics, compare [W2].”