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Isometric disks are holomorphic

dc.creatorAntonakoudis, Stergios
dc.date.accessioned2016-08-15
dc.date.accessioned2018-11-24T23:26:55Z
dc.date.available2016-10-11T12:42:47Z
dc.date.available2018-11-24T23:26:55Z
dc.date.issued2016-10-05
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/260705
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3911
dc.description.abstractThis 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 disk. Additionally, a similar result is proved for a large class of $\textit{disk-rigid}$ domains, which includes strictly convex domains, as well as finite-dimensional Teichmüller spaces.
dc.languageen
dc.publisherSpringer
dc.publisherInventiones mathematicae
dc.rightshttp://creativecommons.org/licenses/by/4.0/
dc.rightshttp://creativecommons.org/licenses/by/4.0/
dc.rightshttp://creativecommons.org/licenses/by/4.0/
dc.rightsAttribution 4.0 International
dc.rightsAttribution 4.0 International
dc.rightsAttribution 4.0 International
dc.titleIsometric disks are holomorphic
dc.typeArticle


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