Ponencia
Constant mean curvature surfaces in 3-dimensional Thurston geometries
Autor/es | Fernández Delgado, Isabel
Mira, Pablo |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2011 |
Fecha de depósito | 2020-02-20 |
Publicado en |
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ISBN/ISSN | 9789814324304 |
Resumen | This is a survey on the global theory of constant mean curvature surfaces
in Riemannian homogeneous 3-manifolds. These ambient 3-manifolds include the eight
canonical Thurston 3-dimensional geometries, i.e. R3, H3, S3, ... This is a survey on the global theory of constant mean curvature surfaces in Riemannian homogeneous 3-manifolds. These ambient 3-manifolds include the eight canonical Thurston 3-dimensional geometries, i.e. R3, H3, S3, H2 × R, S2 × R, the Heisenberg space Nil3, the universal cover of PSL2(R) and the Lie group Sol3. We will focus on the problems of classifying compact CMC surfaces and entire CMC graphs in these spaces. A collection of important open problems of the theory is also presented. |
Identificador del proyecto | MTM2007-65249
FQM325 P06-FQM-01642 |
Cita | Fernández Delgado, I. y Mira, P. (2011). Constant mean curvature surfaces in 3-dimensional Thurston geometries. En ICM 2010: International Congress of Mathematicians (830-861), Hyderabad, India: World Scientific. |
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