Description

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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.