| Title: |
Constant mean curvature spheres in homogeneous three-manifolds |
| Authors: |
Meeks, William H.; Mira Carrillo, Pablo; Pérez, Joaquín; Ros, Antonio |
| Contributors: |
Ministerio de Economía, Comercio y Empresa; Fundación Séneca |
| Publisher Information: |
Springer |
| Publication Year: |
2020 |
| Collection: |
Universidad Politécnica de Cartagena: Repositorio Digital UPCT |
| Subject Terms: |
Constant Mean Curvature; Spheres; Homogeneous Three-Manifolds; Isometry; Classification; Matemática Aplicada; 12 Matemáticas; 9. Construir infraestructuras resilientes; promover la industrialización inclusiva y sostenible y fomentar la innovación |
| Description: |
We prove that two spheres of the same constant mean curvature in an arbitrary homogeneous three-manifold only differ by an ambient isometry, and we determine the values of the mean curvature for which such spheres exist. This gives a complete classification of immersed constant mean curvature spheres in three-dimensional homogeneous manifolds. ; Pablo Mir was partially supported by MINECO/FEDER, Grant No. MTM2016-80313-P, and Programa de Apoyo a la Investigacion, Fundacion Seneca-Agencia de Ciencia y Tecnologia Region de Murcia, 19461/PI/14. Research of the Joaquín Pérez and Antonio Ros partially supported by MINECO/FEDER Grants Nos. MTM2014-52368-P and MTM2017-89677-P, and Regional J. Andalucia Grant no. P18-FR-4049. |
| Document Type: |
article in journal/newspaper |
| File Description: |
PDF; application/pdf |
| Language: |
English |
| Relation: |
Ecuaciones en derivadas parciales elípticas: aplicaciones analíticas y geométricas; Superficios y ecuaciones en derivadas parciales geométricas; 19461/PI/14; MTM2016-80313-P; http://hdl.handle.net/10317/17840 |
| DOI: |
10.1007/s00222-020-01008-y |
| Availability: |
http://hdl.handle.net/10317/17840; https://doi.org/10.1007/s00222-020-01008-y; https://link.springer.com/article/10.1007/s00222-020-01008-y |
| Rights: |
Attribution 4.0 International ; http://creativecommons.org/licenses/by/4.0/ ; http://purl.org/coar/access_right/c_abf2 |
| Accession Number: |
edsbas.AAAC07C8 |
| Database: |
BASE |