McMullen, Curtis T.Antonakoudis, Stergios M2014-06-062014-06-062014Antonakoudis, Stergios M. 2014. The complex geometry of Teichmüller space. Doctoral dissertation, Harvard University.http://dissertations.umi.com/gsas.harvard:11637http://nrs.harvard.edu/urn-3:HUL.InstRepos:12274317We 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.en-USMathematicsisometryKobayashi metricsymmetric spaceTeichmüller spaceThesis or Dissertation2014-06-06