Generalized Willmore functionals and related variational problems

DOI10.1016/j.difgeo.2007.06.004zbMath1138.53016OpenAlexW2042445507WikidataQ115357740 ScholiaQ115357740MaRDI QIDQ2468469

Zhen Guo

Publication date: 23 January 2008

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2007.06.004

zbMATH Keywords

Riemannian manifoldinvariant functionalconformal Weyl curvature tensorgeneralized Willmore equation

Mathematics Subject Classification ID

Related Items (5)

On the variation of curvature functionals in a space form with application to a generalized Willmore energy ⋮ The conformal Willmore functional: a perturbative approach ⋮ Some results about the existence of critical points for the Willmore functional ⋮ A calculus for conformal hypersurfaces and new higher Willmore energy functionals ⋮ Higher order Willmore hypersurfaces in Euclidean space

Cites Work

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• A duality theorem for Willmore surfaces
• Euclidean and conformal invariants of submanifolds
• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• Variational properties of functions of the mean curvatures for hypersurfaces in space forms
• Willmore submanifolds in a sphere.
• Conformal Invariants of Submanifolds
• A conformal differential invariant and the conformal rigidity of hypersurfaces
• A Global Invariant of Conformal Mappings in Space
• An Invariant of Conformal Mappings
• The second variational formula for Willmore submanifolds in \(S^n\).
• Conformal geometry of surfaces in \(S^4\) and quaternions

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