Journal of the Mathematical Society of Japan · 2003 · 36 citations · 19 references
Materials ScienceIntegral GeometryGlobal GeometryEngineeringGeometryComplex GeometryRiemannian GeometryFunctional SurfaceMechanical EngineeringSurface ScienceCmc SurfacesComputer-aided DesignRiemannian ManifoldConformally CylindersComplete Cmc ImmersionsConstant Mean CurvatureSurface Processing
We investigate surfaces of constant mean curvature with a nontrivial fundamental group in a Weierstraß type representation. As an application we construct a family of complete CMC immersions which are conformally cylinders and have umbilics.
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Counterexample to a conjecture of H. Hopf
Henry C. Wente · Pacific Journal of Mathematics · 1986 · 374 citations · Full text