Branch points of Willmore surfaces

DOI10.1215/S0012-7094-07-13821-3zbMath1130.53007OpenAlexW2001702948MaRDI QIDQ2371893

Reiner Michael Schätzle, Ernst Christoph Kuwert

Publication date: 9 July 2007

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-07-13821-3

zbMATH Keywords

Willmore surfacesisolated singularity of finite density at the origin

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Surfaces in Euclidean and related spaces (53A05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (7)

A Bernstein type theorem for entire Willmore graphs ⋮ Embedded surfaces of arbitrary genus minimizing the Willmore energy under isoperimetric constraint ⋮ A resolution of the Poisson problem for elastic plates ⋮ Willmore surfaces with nonremovable singularities and number of critical levels ⋮ Willmore surfaces in spheres via loop groups. IV: On totally isotropic Willmore two-spheres in \(S^6\) ⋮ A singular example for the Willmore flow ⋮ Existence for Willmore surfaces of revolution satisfying non-symmetric Dirichlet boundary conditions

Cites Work

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• Removability of point singularities of Willmore surfaces
• Gradient flow for the Willmore functional
• Existence of surfaces minimizing the Willmore functional
• On surfaces of finite total curvature
• Einige Bemerkungen über Flächen beschränkter mittlerer Krümmung. (Some remarks about surfaces of bounded mean curvature)
• Verzweigungspunkte von H-Flächen. I

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