Willmore surfaces in \(S^n\)

DOI10.1023/A:1014759309675zbMath1008.53051MaRDI QIDQ1599391

Haizhong Li

Publication date: 9 June 2002

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

zbMATH Keywords

Willmore surfacespinchingVeronese surface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (16)

Rigidity theorem for Willmore surfaces in a sphere ⋮ Unnamed Item ⋮ On Willmore Legendrian surfaces in \(\mathbb S^5\) and the contact stationary Legendrian Willmore surfaces ⋮ Contact stationary Legendrian surfaces in \(\mathbb S^5\) ⋮ Rigidity of Willmore submanifolds and extremal submanifolds in the unit sphere ⋮ Rigidity of closed CSL submanifolds in the unit sphere ⋮ Surfaces with vanishing Möbius form in \(S^n\). ⋮ A new characterization of Willmore submanifolds ⋮ A variational problem for submanifolds in a sphere ⋮ Conformal geometry of hypersurfaces in Lorentz space forms ⋮ A basic inequality and new characterization of Whitney spheres in a complex space form ⋮ RETRACTED ARTICLE: On the dynamics of hypersurfaces foliated by n−2-dimensional oriented hyperspheres in 𝕊ⁿ ⋮ Willmore Surfaces in Three-Dimensional Simply Isotropic Spaces $$\mathbb {I}_3^1$$ ⋮ Variational problems of total mean curvature of submanifolds in a sphere ⋮ An inequality between Willmore functional and Weyl functional for submanifolds in space forms ⋮ Willmore deformations between minimal surfaces in \(\mathbb{H}^{n+2}\) and \(\mathbb{S}^{n+2}\)

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