Add to ORKGthis article we shall mainly consider immersions of T and sometimes into R . This functional is invariant under conformal transformations of R . The Willmore conjecture states that up to conformal transformations this functional has a unique absolute minimum. The corresponding immersion is the Cliord torus, which is the surface of a rotated circle of radius r around some axis in the plane spanned by the circle with distance 2r from the center of the circle. The corresponding Willmore functional is equal to
by Cheung Ka Luen.Thesis (M.Ph.)--Chinese University of Hong Kong, 1988.Bibliography: leaves 99-103
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We ...
Abstract. A surface x:M → Sn is called a Willmore surface if it is a critic al surface of the Willmo...
Neste trabalho, provamos um caso particular da conjectura de Willmore, para toros M E3 mergulhados ...
We show, that higher analogs of the Willmore functional, defined on the space of immersions M"2...
We develop a variety of approaches, mainly using integral geometry, to proving that the integral of ...
The Willmore problem studies which torus has the least amount of bending energy. We explain how to t...
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...
A surface $x:M\to S^n$ is called a Willmore surface if it is a critical surface of the Willmore func...
-(N, g̊) ↪→M isometrically immersed closed oriented surface The Willmore Functional: a perturbative ...
Neste trabalho, estudaremos a prova da conjectura de Willmore no espaço projetivo real (...), feito ...
We study Willmore surfaces of constant Mobius curvature Kappa in S-4. It is proved that such a surfa...
In 1965, Willmore conjectured that the integral of the square of the mean curvature of a torus immer...
For an immersed hypersurface f : M-n -> Rn+1 without umbilical points, one can define the Mobius ...
by Cheung Ka Luen.Thesis (M.Ph.)--Chinese University of Hong Kong, 1988.Bibliography: leaves 99-103
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We ...
Abstract. A surface x:M → Sn is called a Willmore surface if it is a critic al surface of the Willmo...
Neste trabalho, provamos um caso particular da conjectura de Willmore, para toros M E3 mergulhados ...
We show, that higher analogs of the Willmore functional, defined on the space of immersions M"2...
We develop a variety of approaches, mainly using integral geometry, to proving that the integral of ...
The Willmore problem studies which torus has the least amount of bending energy. We explain how to t...
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...
A surface $x:M\to S^n$ is called a Willmore surface if it is a critical surface of the Willmore func...
-(N, g̊) ↪→M isometrically immersed closed oriented surface The Willmore Functional: a perturbative ...
Neste trabalho, estudaremos a prova da conjectura de Willmore no espaço projetivo real (...), feito ...
We study Willmore surfaces of constant Mobius curvature Kappa in S-4. It is proved that such a surfa...
In 1965, Willmore conjectured that the integral of the square of the mean curvature of a torus immer...
For an immersed hypersurface f : M-n -> Rn+1 without umbilical points, one can define the Mobius ...
by Cheung Ka Luen.Thesis (M.Ph.)--Chinese University of Hong Kong, 1988.Bibliography: leaves 99-103
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We ...
Abstract. A surface x:M → Sn is called a Willmore surface if it is a critic al surface of the Willmo...
