On Teichmueller's metric and Thurston's asymmetric metric on Teichmueller space
Résumé
We review some elements of Teichmueller's metric and of Thurston's asymmetric metric on Teichmueller space. One of our objectives is to draw a parallel between these two metrics and to stress on some differences between them. The results that we present on Teichmueller's metric are classical, whereas some of the results on Thurston's asymmetric metric are new. We also discuss some open problems.
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