Towards the Willmore conjecture

DOI10.1007/s005260000042zbMath1058.53060OpenAlexW2107177094WikidataQ122910251 ScholiaQ122910251MaRDI QIDQ1840713

Peter Miles Topping

Publication date: 6 May 2001

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260000042

zbMATH Keywords

mean curvatureGauss curvaturetorus immersed in \(\mathbb R^3\)

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Integral geometry (53C65)

Related Items (10)

Willmore-like tori in Killing submersions ⋮ A variational approach to \(S^1\)-harmonic maps and applications ⋮ Critical tori for mean curvature energies in Killing submersions ⋮ On Otsuki tori and their Willmore energy ⋮ Min-max theory and the Willmore conjecture ⋮ Embedded surfaces of arbitrary genus minimizing the Willmore energy under isoperimetric constraint ⋮ The Willmore conjecture ⋮ Minimal surfaces in $$S^3$$ : a survey of recent results ⋮ Candidates for non-rectangular constrained Willmore minimizers ⋮ First explicit constrained Willmore minimizers of non-rectangular conformal class

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