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Curvature estimates for constant mean curvature surfaces - MaRDI portal

Curvature estimates for constant mean curvature surfaces (Q2287926)

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scientific article; zbMATH DE number 6119843
  • On curvature estimates for constant mean curvature surfaces
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English
Curvature estimates for constant mean curvature surfaces
scientific article; zbMATH DE number 6119843
  • On curvature estimates for constant mean curvature surfaces

Statements

Curvature estimates for constant mean curvature surfaces (English)
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On curvature estimates for constant mean curvature surfaces (English)
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22 January 2020
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30 December 2012
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An oriented surface \(M\) immersed in \(\mathbb{R}^3\) is said to be an \(H\)-surface if it is embedded, connected, and it has positive constant mean curvature \(H\). An \(H\)-surface that is homeomorphic to a closed disk in the Euclidean plane is called an \(H\)-disk. The main result of the paper under reviews states that there exists an upper bound for the extrinsic distance from a point in an \(H\)-disk to its boundary.
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minimal surface
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constant mean curvature
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curvature estimates
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curvature estimate
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