<p>We prove that singular minimal surfaces with constant Gauss curvature are planes, spheres, and cylindrical surfaces. We also classify all singular minimal surfaces with a constant principal curvature and singular minimal surfaces with constant mean curvature.</p>

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Singular minimal surfaces with constant curvature

  • Rafael López

摘要

We prove that singular minimal surfaces with constant Gauss curvature are planes, spheres, and cylindrical surfaces. We also classify all singular minimal surfaces with a constant principal curvature and singular minimal surfaces with constant mean curvature.