Isometric disks are holomorphic
File(s)Antonakoudis2017_Article_IsometricDisksAreHolomorphic.pdf (384.1 KB)
Published version
Author(s)
Antonakoudis, Stergios M
Type
Journal Article
Abstract
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 disk. Additionally, a similar result is proved for a large class of disk-rigid domains, which includes strictly convex domains, as well as finite-dimensional Teichmüller spaces.
Date Issued
2017-03-01
Date Acceptance
2016-08-15
Citation
Inventiones Mathematicae, 2017, 207 (3), pp.1289-1299
ISSN
0020-9910
Publisher
Springer Verlag
Start Page
1289
End Page
1299
Journal / Book Title
Inventiones Mathematicae
Volume
207
Issue
3
Copyright Statement
© The Author(s) 2016. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000394497200005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Mathematics
TEICHMULLER-SPACES
MOTIONS
Publication Status
Published
Date Publish Online
2016-10-05