Bubble tree of branched conformal immersions and applications to the Willmore functional
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Publication:2879443
DOI10.1353/ajm.2014.0023zbMath1298.53007arXiv1112.1818OpenAlexW2027191241MaRDI QIDQ2879443
Publication date: 1 September 2014
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.1818
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Optimization of shapes other than minimal surfaces (49Q10)
Related Items (17)
Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies ⋮ On the compactness of Hamiltonian stationary Lagrangian surfaces in Kähler surfaces ⋮ Global estimates and energy identities for elliptic systems with antisymmetric potentials ⋮ Asymptotics of Willmore Minimizers with Prescribed Small Isoperimetric Ratio ⋮ Bubbling analysis for extrinsic biharmonic maps from general Riemannian 4-manifolds ⋮ Existence and regularity of spheres minimising the Canham-Helfrich energy ⋮ The Willmore functional of surfaces ⋮ Local foliation of manifolds by surfaces of Willmore-type ⋮ The space of compact self-shrinking solutions to the Lagrangian mean curvature flow in \(\mathbb{C}^2\) ⋮ Homotopy classes of harmonic maps of the stratified 2-spheres and applications to geometric flows ⋮ Willmore surfaces with nonremovable singularities and number of critical levels ⋮ Willmore surfaces in spheres via loop groups. IV: On totally isotropic Willmore two-spheres in \(S^6\) ⋮ On the minimizers of curvature functionals in asymptotically flat manifolds ⋮ Compactness of surfaces in \(\mathbb{R}^n\) with small total curvature ⋮ An Hélein’s type convergence theorem for conformal immersions from 𝕊² to manifold ⋮ Concentration of small Hawking type surfaces ⋮ Rigidity and non-rigidity results for conformal immersions
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