The isoperimetric problem for lens spaces
| dc.creator | Celso Dos Santos Viana | |
| dc.date.accessioned | 2021-07-28T22:22:23Z | |
| dc.date.accessioned | 2025-09-09T01:13:59Z | |
| dc.date.available | 2021-07-28T22:22:23Z | |
| dc.date.issued | 2019 | |
| dc.description.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. | |
| dc.format.mimetype | ||
| dc.identifier.doi | https://doi.org/10.1007/s00208-018-1792-7 | |
| dc.identifier.issn | 1432-1807 | |
| dc.identifier.uri | https://hdl.handle.net/1843/37087 | |
| dc.language | eng | |
| dc.publisher | Universidade Federal de Minas Gerais | |
| dc.relation.ispartof | Mathematische Annalen | |
| dc.rights | Acesso Aberto | |
| dc.subject | Cálculo das variações | |
| dc.subject | Geometria diferencial | |
| dc.subject | Variedade Riemanniana | |
| dc.subject.other | Isoperimetric problem | |
| dc.subject.other | Differential geometry | |
| dc.subject.other | Riemannian manifold | |
| dc.title | The isoperimetric problem for lens spaces | |
| dc.title.alternative | O problema isoperimétrico para espaços de lentes | |
| dc.type | Artigo de periódico | |
| local.citation.epage | 497 | |
| local.citation.spage | 475 | |
| local.citation.volume | 374 | |
| local.description.resumo | 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. | |
| local.identifier.orcid | ttps://orcid.org/0000-0001-5626-4169 | |
| local.publisher.country | Brasil | |
| local.publisher.department | ICX - DEPARTAMENTO DE MATEMÁTICA | |
| local.publisher.initials | UFMG | |
| local.url.externa | https://link.springer.com/article/10.1007/s00208-018-1792-7 |