Publication: The complex geometry of Teichmüller space
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2014-06-06
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Antonakoudis, Stergios M. 2014. The complex geometry of Teichmüller space. Doctoral dissertation, Harvard University.
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Abstract
We study isometric maps between Teichmüller spaces and bounded symmetric domains in their Kobayashi metric. We prove that every totally geodesic isometry from a disk to Teichmüller space is either holomorphic or anti-holomorphic; in particular, it is a Teichmüller disk. However, we prove that in dimensions two or more there are no holomorphic isometric immersions between Teichmüller spaces and bounded symmetric domains and also prove a similar result for isometric submersions.
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Mathematics, isometry, Kobayashi metric, symmetric space, Teichmüller space
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