. We give a new method to obtain Willmore tori over principal circle bundles. This method can be viewed as a reduction of variables criterion for the Willmore variational problem in conformal structures associated with metrics, on principal circle bundles, which are obtained via the generalized inverse Kaluza-Klein mechanism. The problem of finding critical points for the conformal total tension functional in those conformal structures is transfered to the search of critical points for certain elastic energy functionals acting on spaces of curves in the base. This technique is applied to construct wide families of equivariant tori which are critical points for the conformal total tension functional in an ample class of conformal structures....
We show, that higher analogs of the Willmore functional, defined on the space of immersions M"2...
The Willmore energy of a surface is a conformal measure of its failure to be conformally spherical. ...
The first variation formula and Euler-Lagrange equations for Willmore-like surfaces in Riemannian 3-...
Equivariant tori which are critical points of the conformal total tension functiona
We present a new method to obtain Willmore–Chen sub-manifolds in spaces endowed with warped product ...
We obtain a variable reduction principle for the Willmore variational problem in an ample class of c...
Equivariant constrained Willmore tori are immersed tori with a 1-parameter group of isometric symmet...
Generalized elastic curves on $\S^2$ are elliptic solutions of a differential equation on the curvat...
This paper deals with string theories and M-theories on backgrounds of the form AdS ×M, M being a co...
The Willmore energy, alias bending energy or rigid string action, and its variation-the Wil...
AbstractThe purpose of this paper is to study the conformally invariant functionals of hypersurfaces...
The goal of the present paper is to investigate the algebraic structure of global conformal invarian...
The invariant theory for conformal hypersurfaces is studied by treating these as the confor...
ABSTRACT. The goal of the present paper is to investigate the algebraic structure of global conforma...
this article we shall mainly consider immersions of T and sometimes into R . This functional...
We show, that higher analogs of the Willmore functional, defined on the space of immersions M"2...
The Willmore energy of a surface is a conformal measure of its failure to be conformally spherical. ...
The first variation formula and Euler-Lagrange equations for Willmore-like surfaces in Riemannian 3-...
Equivariant tori which are critical points of the conformal total tension functiona
We present a new method to obtain Willmore–Chen sub-manifolds in spaces endowed with warped product ...
We obtain a variable reduction principle for the Willmore variational problem in an ample class of c...
Equivariant constrained Willmore tori are immersed tori with a 1-parameter group of isometric symmet...
Generalized elastic curves on $\S^2$ are elliptic solutions of a differential equation on the curvat...
This paper deals with string theories and M-theories on backgrounds of the form AdS ×M, M being a co...
The Willmore energy, alias bending energy or rigid string action, and its variation-the Wil...
AbstractThe purpose of this paper is to study the conformally invariant functionals of hypersurfaces...
The goal of the present paper is to investigate the algebraic structure of global conformal invarian...
The invariant theory for conformal hypersurfaces is studied by treating these as the confor...
ABSTRACT. The goal of the present paper is to investigate the algebraic structure of global conforma...
this article we shall mainly consider immersions of T and sometimes into R . This functional...
We show, that higher analogs of the Willmore functional, defined on the space of immersions M"2...
The Willmore energy of a surface is a conformal measure of its failure to be conformally spherical. ...
The first variation formula and Euler-Lagrange equations for Willmore-like surfaces in Riemannian 3-...