Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Teichmüller distance and Kobayashi distance on subspaces of the universal Teichmüller space
Masahiro Yanagishita
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2013 年 36 巻 2 号 p. 209-227

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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.
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© 2013 Department of Mathematics, Tokyo Institute of Technology
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