Canonical parameterizations of metric disks
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Lytchak, Alexander
Mathematisches Institut, Universität Köln, Köln, Germany
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Wenger, Stefan
Department of Mathematics, University of Fribourg, Fribourg, Switzerland
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.
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Faculty
- Faculté des sciences et de médecine
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Department
- Département de Mathématiques
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Language
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Classification
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Mathematics
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License
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License undefined
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Identifiers
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Persistent URL
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https://folia.unifr.ch/unifr/documents/308638
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