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Isometric disks are holomorphic
(SpringerInventiones mathematicae, 2016-10-05)
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-holomorphic; in particular, it is a ...
Teichmüller spaces and bounded symmetric domains do not mix isometrically
(SpringerGeometric and Functional Analysis, 2017-06-01)
This paper shows that, in dimensions two or more, there are no holomorphic isometries between Teichüller spaces and bounded symmetric domains in their intrinsic Kobayashi metric.