Singularity removability at branch points for Willmore surfaces

DOI10.2140/pjm.2013.265.257zbMath1304.30032arXiv1106.4642OpenAlexW3101726321MaRDI QIDQ387715

Tristan Rivière, Yann Bernard

Publication date: 23 December 2013

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4642

zbMATH Keywords

immersionWillmore surfacebranch pointsresiduesremovable singular points

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70)

Related Items (15)

Uniform regularity results for critical and subcritical surface energies ⋮ Noether's theorem and the Willmore functional ⋮ The Classification of Branched Willmore Spheres in the 3-Sphere and the 4-Sphere ⋮ Willmore minmax surfaces and the cost of the sphere eversion ⋮ Asymptotics of Willmore Minimizers with Prescribed Small Isoperimetric Ratio ⋮ Analysis of constrained Willmore surfaces ⋮ Analysis of the inhomogeneous Willmore equation ⋮ A resolution of the Poisson problem for elastic plates ⋮ Energy quantization for Willmore surfaces and applications ⋮ Energy quantization of Willmore surfaces at the boundary of the moduli space ⋮ On the Morse index of branched Willmore spheres in 3-space ⋮ 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 \(S^6\) ⋮ Pointwise expansion of degenerating immersions of finite total curvature ⋮ Willmore deformations between minimal surfaces in \(\mathbb{H}^{n+2}\) and \(\mathbb{S}^{n+2}\)

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