The complex geometry of Teichmüller space
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CitationAntonakoudis, Stergios M. 2014. The complex geometry of Teichmüller space. Doctoral dissertation, Harvard University.
AbstractWe 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.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:12274317
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