Add to ORKGAbstract. It is well known that any totally geodesic hypersurface is a Will-more hypersurface. In [11], Li and Vrancken got some new examples of Will-more surfaces in a sphere. In [7], Guo, Li and Wang obtained Willmore tori. In this paper, we find some new examples of Willmore hypersurfaces in a sphere. 1
Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms, a topic in Lorentzian conformal...
We use an isotropic harmonic map representation of Willmore sur-faces to solve the analogue of Björ...
Abstract. A surface x:M → Sn is called a Willmore surface if it is a critic al surface of the Willmo...
called a Willmore hypersurface if it is an extremal hypersurface to the following Willmore functiona...
A surface $x:M\to S^n$ is called a Willmore surface if it is a critical surface of the Willmore func...
The classification of Willmore two-spheres in the n-dimensional sphere S-n is a long-standing proble...
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We ...
We view conformal surfaces in the 4-sphere as quaternionic holomorphic curves in quaternionic projec...
For an immersed hypersurface f : M-n -> Rn+1 without umbilical points, one can define the Mobius ...
Abstract: A new formulation for the Euler-Lagrange equation of the Will-more functional for immersed...
We study Willmore surfaces of constant Mobius curvature Kappa in S-4. It is proved that such a surfa...
The Willmore problem studies which torus has the least amount of bending energy. We explain how to t...
In this paper we investigate the properties of small surfaces of Willmore type in Riemannian manifol...
We show that spacelike S-Willmore surfaces are the only spacelike Willmore surfaces with a duality i...
We develop a variety of approaches, mainly using integral geometry, to proving that the integral of ...
Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms, a topic in Lorentzian conformal...
We use an isotropic harmonic map representation of Willmore sur-faces to solve the analogue of Björ...
Abstract. A surface x:M → Sn is called a Willmore surface if it is a critic al surface of the Willmo...
called a Willmore hypersurface if it is an extremal hypersurface to the following Willmore functiona...
A surface $x:M\to S^n$ is called a Willmore surface if it is a critical surface of the Willmore func...
The classification of Willmore two-spheres in the n-dimensional sphere S-n is a long-standing proble...
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We ...
We view conformal surfaces in the 4-sphere as quaternionic holomorphic curves in quaternionic projec...
For an immersed hypersurface f : M-n -> Rn+1 without umbilical points, one can define the Mobius ...
Abstract: A new formulation for the Euler-Lagrange equation of the Will-more functional for immersed...
We study Willmore surfaces of constant Mobius curvature Kappa in S-4. It is proved that such a surfa...
The Willmore problem studies which torus has the least amount of bending energy. We explain how to t...
In this paper we investigate the properties of small surfaces of Willmore type in Riemannian manifol...
We show that spacelike S-Willmore surfaces are the only spacelike Willmore surfaces with a duality i...
We develop a variety of approaches, mainly using integral geometry, to proving that the integral of ...
Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms, a topic in Lorentzian conformal...
We use an isotropic harmonic map representation of Willmore sur-faces to solve the analogue of Björ...
Abstract. A surface x:M → Sn is called a Willmore surface if it is a critic al surface of the Willmo...