Gradient Flow for the Willmore Functional in Riemannian Manifolds of bounded Geometry

zbMath1288.53002arXiv1308.6055MaRDI QIDQ5412044

Florian Link

Publication date: 25 April 2014

Full work available at URL: https://arxiv.org/abs/1308.6055

zbMATH Keywords

injectivity radiusgradient flowsfinite time singularityWillmore flowblow-up procedure

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Related Items (6)

Local solutions to a free boundary problem for the Willmore functional ⋮ A convergence result for the gradient flow of \(\int|A|^2\) in Riemannian manifolds ⋮ Analysis of the inhomogeneous Willmore equation ⋮ Phase field models for thin elastic structures with topological constraint ⋮ The area preserving Willmore flow and local maximizers of the Hawking mass in asymptotically Schwarzschild manifolds ⋮ Immersions with bounded second fundamental form

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