Please use this identifier to cite or link to this item:
http://hdl.handle.net/1843/37087| Type: | Artigo de Periódico |
| Title: | The isoperimetric problem for lens spaces |
| Other Titles: | O problema isoperimétrico para espaços de lentes |
| Authors: | Celso Dos Santos Viana |
| 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. |
| Abstract: | Resolvemos o problema isoperimétrico nos espaços da lente com grande grupo fundamental. Nomeadamente, provamos que as superfícies isoperimétricas são esferas geodésicas ou quocientes de toros de Clifford. Mostramos também que o problema isoperimétrico nos espaços de lente L (3, 1) e L (3, 2) decorre da prova da conjectura de Willmore por Marques e Neves. |
| Subject: | Cálculo das variações Geometria diferencial Variedade Riemanniana |
| language: | eng |
| metadata.dc.publisher.country: | Brasil |
| Publisher: | Universidade Federal de Minas Gerais |
| Publisher Initials: | UFMG |
| metadata.dc.publisher.department: | ICX - DEPARTAMENTO DE MATEMÁTICA |
| Rights: | Acesso Aberto |
| metadata.dc.identifier.doi: | https://doi.org/10.1007/s00208-018-1792-7 |
| URI: | http://hdl.handle.net/1843/37087 |
| Issue Date: | 2019 |
| metadata.dc.url.externa: | https://link.springer.com/article/10.1007/s00208-018-1792-7 |
| metadata.dc.relation.ispartof: | Mathematische Annalen |
| Appears in Collections: | Artigo de Periódico |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| MAT _ Viana Celso _ The isoperimetric problem for lens spaces _ 2018.pdf | 14.62 MB | Adobe PDF | View/Open |
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