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. / Mathematics
| Identifer | oai:union.ndltd.org:harvard.edu/oai:dash.harvard.edu:1/12274317 |
| Date | 06 June 2014 |
| Creators | Antonakoudis, Stergios M |
| Contributors | McMullen, Curtis T. |
| Publisher | Harvard University |
| Source Sets | Harvard University |
| Language | en_US |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Rights | open |
Page generated in 0.0013 seconds