Canonical parameterizations of metric disks
- Lytchak, Alexander Mathematisches Institut, Universität Köln, Köln, Germany
- Wenger, Stefan Department of Mathematics, University of Fribourg, Fribourg, Switzerland
- 15.03.2020
Published in:
- Duke Mathematical Journal. - 2020, vol. 169, no. 4, p. 761–797
English
We use the recently established existence and regularity of area and energy minimizing disks in metric spaces to obtain canonical parameterizations of metric surfaces. Our approach yields a new and conceptually simple proof of a well-known theorem of Bonk and Kleiner on the existence of quasisymmetric parameterizations of linearly locally connected, Ahlfors 2-regular metric 2-spheres. Generalizations and applications to the geometry of such surfaces are described.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
-
- RERO DOC 328458
- DOI 10.1215/00127094-2019-0065
- Persistent URL
- https://folia.unifr.ch/unifr/documents/308638
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