Abstract
It is known that the Teichmüller distance on the universal Teichmüller space T coincides with the Kobayashi distance. For a metric subspace of T having a comparable complex structure with that of T, we can similarly consider whether or not the Teichmüller distance on the subspace coincides with the Kobayashi distance. In this paper, we give a sufficient condition for metric subspaces under which the problem above has a affirmative answer. Moreover, we introduce an example of such subspaces.
Citation
Masahiro Yanagishita. "Teichmüller distance and Kobayashi distance on subspaces of the universal Teichmüller space." Kodai Math. J. 36 (2) 209 - 227, June 2013. https://doi.org/10.2996/kmj/1372337514
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