Add to ORKGAbstract. A surface x:M → Sn is called a Willmore surface if it is a critic al surface of the Willmore functional. It is well known that any minimal surface is a Willmore surface and that many nonminimal Willmore surfaces exists. In this paper, we establish an integral inequality for compact Willmore surfaces in Sn and obtain a new characterization of the Veronese surface in S4 as a Willmore surface. Our result reduces to a well-known result in the case of minimal surfaces. Mathematics Subject Classifications (2000): 53C42, 53A10
Abstract. We prove a Lojasiewicz-Simon gradient inequality for the Will-more functional near Willmor...
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 ...
We study Willmore surfaces of constant Mobius curvature Kappa in S-4. It is proved that such a surfa...
A surface $x:M\to S^n$ is called a Willmore surface if it is a critical surface of the Willmore func...
This work is devoted to the study of the Willmore Functional. In the first part of the thesis we rec...
Abstract: A new formulation for the Euler-Lagrange equation of the Will-more functional for immersed...
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We ...
We use an isotropic harmonic map representation of Willmore sur-faces to solve the analogue of Björ...
called a Willmore hypersurface if it is an extremal hypersurface to the following Willmore functiona...
this article we shall mainly consider immersions of T and sometimes into R . This functional...
We develop a variety of approaches, mainly using integral geometry, to proving that the integral of ...
The goal of the present note is to survey and announce recent results by the authors about existence...
The conformal geometry of surfaces recently developed by the authors leads to a unified understandin...
A new formulation for the Euler-Lagrange equation of the Willmore functional for immersed surfaces i...
Abstract. We prove a Lojasiewicz-Simon gradient inequality for the Will-more functional near Willmor...
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 ...
We study Willmore surfaces of constant Mobius curvature Kappa in S-4. It is proved that such a surfa...
A surface $x:M\to S^n$ is called a Willmore surface if it is a critical surface of the Willmore func...
This work is devoted to the study of the Willmore Functional. In the first part of the thesis we rec...
Abstract: A new formulation for the Euler-Lagrange equation of the Will-more functional for immersed...
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We ...
We use an isotropic harmonic map representation of Willmore sur-faces to solve the analogue of Björ...
called a Willmore hypersurface if it is an extremal hypersurface to the following Willmore functiona...
this article we shall mainly consider immersions of T and sometimes into R . This functional...
We develop a variety of approaches, mainly using integral geometry, to proving that the integral of ...
The goal of the present note is to survey and announce recent results by the authors about existence...
The conformal geometry of surfaces recently developed by the authors leads to a unified understandin...
A new formulation for the Euler-Lagrange equation of the Willmore functional for immersed surfaces i...
Abstract. We prove a Lojasiewicz-Simon gradient inequality for the Will-more functional near Willmor...
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 ...