Constant mean curvature surfaces with boundary
The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media, or for capillary phenomena...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2013.
Cham : Springer Nature |
| Collection: | Springer Monographs in Mathematics
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| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Constant Mean Curvature Surfaces with Boundary, Texte imprimé, 9783642396274 • Constant Mean Curvature Surfaces with Boundary, Texte imprimé, 9783662512562 • Constant Mean Curvature Surfaces with Boundary, Texte imprimé, 9783642396250 |
Table des matières:
- Introduction
- Surfaces with Constant Mean Curvature
- Constant Mean Curvature Embedded Surfaces
- The Flux Formula for Constant Mean Curvature Surfaces
- The Area and the Volume of a Constant Mean Curvature Surface
- Constant Mean Curvature Discs with Circular Boundary
- The Dirichlet Problem of the CMC Equation
- The Dirichlet Problem in Unbounded Domains
- Constant Mean Curvature Surfaces in Hyperbolic Space
- The Dirichlet Problem in Hyperbolic Space
- Constant Mean Curvature Surfaces in Lorentz-Minkowski Space
- Appendix: A. The Variation Formula of the Area and the Volume
- B. Open Questions
- References.