Viana, C;
(2019)
The isoperimetric problem for lens spaces.
Mathematische Annalen
, 374
(1-2)
pp. 475-497.
10.1007/s00208-018-1792-7.
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Abstract
We solve the isoperimetric problem in the lens spaces with large fundamental group. Namely, we prove that the isoperimetric surfaces are either geodesic spheres or quotients of Clifford tori. We also show that the isoperimetric problem in the lens spaces L(3, 1) and L(3, 2) follows from the proof of the Willmore conjecture by Marques and Neves.
| Type: | Article |
|---|---|
| Title: | The isoperimetric problem for lens spaces |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00208-018-1792-7 |
| Publisher version: | https://doi.org/10.1007/s00208-018-1792-7 |
| Language: | English |
| Additional information: | This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10070801 |
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