Geometric rigidity for analytic estimates of Müller-Šverák

DOI10.1007/s00209-011-0974-8zbMath1282.53008OpenAlexW1921801191MaRDI QIDQ1925751

Huy The Nguyen

Publication date: 19 December 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-011-0974-8

zbMATH Keywords

Willmore energysurfaces with finite total curvatureHoffmann-Ossermann cylindersurfaces conformal to the plane

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24)

Related Items (4)

Conformal Willmore tori in \(\mathbb{R}^4\) ⋮ Energy estimates for the tracefree curvature of Willmore surfaces and applications ⋮ Geometric rigidity for sequences of \(W^{2,2}\) conformal immersions ⋮ Rigidity and non-rigidity results for conformal immersions

Cites Work

• Unnamed Item
• On subharmonic functions and differential geometry in the large
• The topology of complete minimal surfaces of finite total Gaussian curvature
• Complete surfaces of finite total curvature
• Compensated compactness and Hardy spaces
• On surfaces of finite total curvature
• Global properties of minimal surfaces in \(E^ 3\) and \(E^ n\)
• An existence theorem for surfaces of constant mean curvature
• The geometry of the generalized Gauss map
• Total curvature of branched minimal surfaces

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