The complex geometry of Teichmüller space
Contributors: McMullen, Curtis T.; Siu, Yum-Tong; Yau, Shing-Tung
Published: 2014
Language: eng
Description: We study isometric maps between Teichmüller spaces and bounded symmetric do- mains 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.
Notes: Keywords: isometry, Kobayashi metric, symmetric space, Teichmüller space.

Thesis Ph.D. Harvard University 2014