Baader, Sebastian; Studer, Luca; Züst, Roger (2020). Distortion of spheres and surfaces in space. The quarterly journal of mathematics, 71(3), pp. 981-988. Oxford University Press 10.1093/qmathj/haaa011
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It is known that the surface of a cone over the unit disc with large height has smaller distortion than the standard embedding of the 2-sphere in R3. In this note we show that distortion minimizers exist among convex embedded 2-spheres and have uniformly bounded eccentricity. Moreover, we prove that π/2 is a sharp lower bound on the distortion of embedded closed surfaces of positive genus.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Baader, Sebastian, Studer, Luca, Züst, Roger |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0033-5606 |
Publisher: |
Oxford University Press |
Language: |
English |
Submitter: |
Sebastiano Don |
Date Deposited: |
27 Jan 2021 16:37 |
Last Modified: |
05 Dec 2022 15:45 |
Publisher DOI: |
10.1093/qmathj/haaa011 |
ArXiv ID: |
1904.07824 |
BORIS DOI: |
10.48350/151218 |
URI: |
https://boris.unibe.ch/id/eprint/151218 |
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