The complex geometry of Teichmüller space

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The complex geometry of Teichmüller space

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Title: The complex geometry of Teichmüller space
Author: Antonakoudis, Stergios M
Citation: 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.
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:12274317
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