Estimation of the conformal factor under bounded Willmore energy

DOI10.1007/s00209-012-1119-4zbMath1275.53011OpenAlexW2031062692MaRDI QIDQ358860

Reiner Michael Schätzle

Publication date: 9 August 2013

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

Full work available at URL: https://doi.org/10.1007/s00209-012-1119-4

zbMATH Keywords

Willmore surfacesgeometric measure theoryconformal parametrization

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

Conformal Willmore tori in \(\mathbb{R}^4\) ⋮ Explicit conformally constrained Willmore minimizers in arbitrary codimension ⋮ Global existence and full convergence of the Möbius-invariant Willmore flow in the 3-sphere ⋮ Refinement of Hélein's conjecture on boundedness of conformal factors when \(n = 3\) ⋮ Optimal rigidity estimates for nearly umbilical surfaces in arbitrary codimension ⋮ Energy quantization for Willmore surfaces and applications ⋮ Willmore surfaces with nonremovable singularities and number of critical levels ⋮ Rigidity and non-rigidity results for conformal immersions

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