Add to ORKGIn this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We show that under appropriate conditions this sequence has to terminate. In this case the Willmore surface either is the Twistor projection of a holomorphic curve into \mathbbC\mathbbP3CP3 or the inversion of a minimal surface with planar ends in \mathbbR4R4. These results give a unified explanation of previous work on the characterization of Willmore spheres and Willmore tori with non-trivial normal bundles by various authors
The classification of Willmore two-spheres in the n-dimensional sphere S-n is a long-standing proble...
We show the existence of a local foliation of a three dimensional Riemannian manifold by critical po...
this article we shall mainly consider immersions of T and sometimes into R . This functional...
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We ...
A surface $x:M\to S^n$ is called a Willmore surface if it is a critical surface of the Willmore func...
We view conformal surfaces in the 4-sphere as quaternionic holomorphic curves in quaternionic projec...
In this paper we classify branched Willmore spheres with at most three branch points (including mult...
The main subject of this thesis are constrained Willmore tori in the 3-dimensional sphere S^3. It is...
The classical notion of the Darboux transformation of isothermic surfaces can be generalised to a tr...
We study Willmore surfaces of constant Mobius curvature Kappa in S-4. It is proved that such a surfa...
Abstract. It is well known that any totally geodesic hypersurface is a Will-more hypersurface. In [1...
A new formulation for the Euler-Lagrange equation of the Willmore functional for immersed surfaces i...
Let (M,g) be a three-dimensional Riemannian manifold. The goal of the paper is to show that if P0∈M ...
We use an isotropic harmonic map representation of Willmore sur-faces to solve the analogue of Björ...
The goal of the present note is to survey and announce recent results by the authors about existence...
The classification of Willmore two-spheres in the n-dimensional sphere S-n is a long-standing proble...
We show the existence of a local foliation of a three dimensional Riemannian manifold by critical po...
this article we shall mainly consider immersions of T and sometimes into R . This functional...
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We ...
A surface $x:M\to S^n$ is called a Willmore surface if it is a critical surface of the Willmore func...
We view conformal surfaces in the 4-sphere as quaternionic holomorphic curves in quaternionic projec...
In this paper we classify branched Willmore spheres with at most three branch points (including mult...
The main subject of this thesis are constrained Willmore tori in the 3-dimensional sphere S^3. It is...
The classical notion of the Darboux transformation of isothermic surfaces can be generalised to a tr...
We study Willmore surfaces of constant Mobius curvature Kappa in S-4. It is proved that such a surfa...
Abstract. It is well known that any totally geodesic hypersurface is a Will-more hypersurface. In [1...
A new formulation for the Euler-Lagrange equation of the Willmore functional for immersed surfaces i...
Let (M,g) be a three-dimensional Riemannian manifold. The goal of the paper is to show that if P0∈M ...
We use an isotropic harmonic map representation of Willmore sur-faces to solve the analogue of Björ...
The goal of the present note is to survey and announce recent results by the authors about existence...
The classification of Willmore two-spheres in the n-dimensional sphere S-n is a long-standing proble...
We show the existence of a local foliation of a three dimensional Riemannian manifold by critical po...
this article we shall mainly consider immersions of T and sometimes into R . This functional...