Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Author "Antonakoudis, Stergios"
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Isometric disks are holomorphic
Antonakoudis, Stergios (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 ...
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Teichmüller spaces and bounded symmetric domains do not mix isometrically
Antonakoudis, Stergios (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.