In this paper we classify branched Willmore spheres with at most three branch points (including multiplicity), showing that they may be obtained from complete minimal surfaces in R with ends of multiplicity at most three. This extends the classification result of Bryant. We then show that this may be applied to the analysis of singularities of the Willmore flow of non-Willmore spheres with Willmore energy W(f) ≥ 16
Uma imersão X : M2 ! R3 é dita uma Superfície de Willmore se é ponto crítico do funcional W(X) = RM ...
In this work we present new tools for studying the variations of the Willmore functional of immersed...
For a hypersurface in ${\mathbb R}^3$, Willmore flow is defined as the $L^2$--gradient flow of the c...
Let (M, g) be a 3-dimensional Riemannian manifold. The goal of the paper it to show that if P0 ∈ M ...
A surface $x:M\to S^n$ is called a Willmore surface if it is a critical surface of the Willmore func...
The goal of the present note is to survey and announce recent results by the authors about existence...
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We ...
We consider a closed surface in $\mathbb{R}^3$ evolving by the volume-preserving Willmore flow and p...
"Regularity and Singularity for Partial Differential Equations with Conservation Laws". June 3～5, 20...
We show the existence of a local foliation of a three dimensional Riemannian manifold by critical po...
A new formulation for the Euler-Lagrange equation of the Willmore functional for immersed surfaces i...
We introduce a parametric framework for the study of Willmore gradient flows which enables to consid...
The first part of this thesis is devoted to the theoretical and numerical study of the phase field a...
The first variation formula and Euler-Lagrange equations for Willmore-like surfaces in Riemannian 3-...
The classification of Willmore two-spheres in the n-dimensional sphere S-n is a long-standing proble...
Uma imersão X : M2 ! R3 é dita uma Superfície de Willmore se é ponto crítico do funcional W(X) = RM ...
In this work we present new tools for studying the variations of the Willmore functional of immersed...
For a hypersurface in ${\mathbb R}^3$, Willmore flow is defined as the $L^2$--gradient flow of the c...
Let (M, g) be a 3-dimensional Riemannian manifold. The goal of the paper it to show that if P0 ∈ M ...
A surface $x:M\to S^n$ is called a Willmore surface if it is a critical surface of the Willmore func...
The goal of the present note is to survey and announce recent results by the authors about existence...
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We ...
We consider a closed surface in $\mathbb{R}^3$ evolving by the volume-preserving Willmore flow and p...
"Regularity and Singularity for Partial Differential Equations with Conservation Laws". June 3～5, 20...
We show the existence of a local foliation of a three dimensional Riemannian manifold by critical po...
A new formulation for the Euler-Lagrange equation of the Willmore functional for immersed surfaces i...
We introduce a parametric framework for the study of Willmore gradient flows which enables to consid...
The first part of this thesis is devoted to the theoretical and numerical study of the phase field a...
The first variation formula and Euler-Lagrange equations for Willmore-like surfaces in Riemannian 3-...
The classification of Willmore two-spheres in the n-dimensional sphere S-n is a long-standing proble...
Uma imersão X : M2 ! R3 é dita uma Superfície de Willmore se é ponto crítico do funcional W(X) = RM ...
In this work we present new tools for studying the variations of the Willmore functional of immersed...
For a hypersurface in ${\mathbb R}^3$, Willmore flow is defined as the $L^2$--gradient flow of the c...
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