Isometric disks are holomorphic

• 成果类型: Article
• 署名作者: Antonakoudis, Stergios M.
• 署名单位: University of Cambridge
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-016-0685-1
• 发表日期: 2017
• 页码: 1289-1299
• 关键词: teichmuller-spaces; MOTIONS

摘要

This paper shows that every totally-geodesic isometry from the unit disk to a finite-dimensional Teichmuller space for the intrinsic Kobayashi metric is either holomorphic or anti-holomorphic; in particular, it is a Teichmuller 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 Teichmuller spaces.