Isometric disks are holomorphic
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Publication:517434
DOI10.1007/S00222-016-0685-1zbMath1375.32027arXiv1510.07335OpenAlexW2963022521WikidataQ59615159 ScholiaQ59615159MaRDI QIDQ517434
Publication date: 23 March 2017
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.07335
Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)
Related Items (11)
Totally geodesic discs in bounded symmetric domains ⋮ Classifying complex geodesics for the Carathéodory metric on low-dimensional Teichmüller spaces ⋮ Isometries in the symmetrized bidisc ⋮ Metric geometry of the Kobayashi metric ⋮ The Finsler geometry of the Teichmüller metric ⋮ Holomorphicity of totally geodesic Kobayashi isometry between bounded symmetric domains ⋮ The complex geometry of Teichmüller spaces and bounded symmetric domains ⋮ Distance and angles between Teichmüller geodesics ⋮ Kobayashi isometries in convex domains ⋮ Totally geodesic submanifolds of Teichmüller space ⋮ Complex geometry of Teichmüller domains
Cites Work
- Separately analytic functions
- Isometrically embedded polydisks in infinite dimensional Teichmüller spaces
- Totally geodesic discs in strongly convex domains
- Estimates for invariant metrics on $\mathbb C$-convex domains
- Separate real analyticity and CR extendibility
- Finite dimensional Teichmüller spaces and generalizations
- Holomorphic Motions and Polynomial Hulls
- Holomorphic Mappings into Teichmuller Spaces
- Holomorphic Motions and Teichmuller Spaces
- From dynamics on surfaces to rational points on curves
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