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...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2013.
|
| Edition: | 1st ed. 2013. |
| Series: | Springer Monographs in Mathematics,
|
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-642-39626-7 |
Table of Contents:
- 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.