3 papers
math.CV2015
The complex geometry of Teichmüller spaces and bounded symmetric domains
Stergios M. Antonakoudis
We study isometric maps between Teichmüller spaces and bounded symmetric domains in their intrinsic Kobayashi metric. From a complex analytic perspective, these two important class…
math.CV2015
Isometric disks are holomorphic
Stergios M. Antonakoudis
This paper shows that every totally-geodesic isometry from the unit disk to a finite-dimensional Teichmüller space for the intrinsic Kobayashi metric is either holomorphic or anti-…
math.CV2015
Teichmüller spaces and bounded symmetric domains do not mix isometrically
Stergios M. Antonakoudis
This paper shows that, in dimensions two or more, there are no holomorphic isometries between Teichmüller spaces and bounded symmetric domains in their intrinsic Kobayashi metrics.