On the stability of the CMC Clifford tori as constrained Willmore surfaces

DOI10.1007/s10455-012-9354-9zbMath1273.53005arXiv1206.4483OpenAlexW2022935528MaRDI QIDQ2376979

Johannes Lorenz, Ernst Christoph Kuwert

Publication date: 26 June 2013

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.4483

zbMATH Keywords

stabilityWillmore surfacesClifford toriTeichmüller projection

Mathematics Subject Classification ID

Related Items (7)

Noether's theorem and the Willmore functional ⋮ A characterization of the Ejiri torus in \(S^{5}\) ⋮ Stability properties of 2-lobed Delaunay tori in the 3-sphere ⋮ A relation between cylindrical critical points of Willmore-type energies, weighted areas and vertical potential energies ⋮ Candidates for non-rectangular constrained Willmore minimizers ⋮ First explicit constrained Willmore minimizers of non-rectangular conformal class ⋮ Existence for Willmore surfaces of revolution satisfying non-symmetric Dirichlet boundary conditions

Cites Work

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• Minimizers of the Willmore functional under fixed conformal class
• Foliations of asymptotically flat manifolds by surfaces of Willmore type
• Flows of constant mean curvature tori in the 3-sphere: the equivariant case
• Constrained Willmore surfaces
• A characterization of quadric constant mean curvature hypersurfaces of spheres
• On a purely Riemannian proof of the structure and dimension of the unramified moduli space of a compact Riemann surface
• Conformally constrained Willmore immersions
• The second variational formula for Willmore submanifolds in \(S^n\).

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