Add to ORKGAbstract. The aim of this paper is to give a new link between integrable systems and minimal surface theory. The dressing operation uses the associated family of flat connections of a harmonic map to construct new harmonic maps. Since a minimal surface in 3–space is a Willmore surface, its conformal Gauss map is harmonic and a dressing on the conformal Gauss map can be defined. We study the induced transformation on minimal surfaces in the simplest case, the simple factor dressing, and show that the well–known López–Ros deformation of minimal surfaces is a special case of this transformation. We express the simple factor dressing and the López–Ros deformation explicitly in terms of the minimal surface and its conjugate surface. In particu...
Abstract. In this paper, we study harmonic mappings by using the shear construc-tion, introduced by ...
We establish a correspondence between two significant deformation theories (by de Jong--van Straten ...
It is known that a compact minimal surface in a 3-dimensional flat torus T 3 = R3/Λ can be regarded ...
The aim of this paper is to investigate a new link between integrable systems and minimal surface th...
The classical notion of the Darboux transformation of isothermic surfaces can be generalised to a tr...
The classical notion of the Darboux transformation of isothermic surfaces can be generalised to a tr...
In this paper we give a survey of methods of Quaternionic Holomorphic Geometry and of applications o...
Abstract. The concept of a conformal deformation has two natural extensions: quasiconformal and harm...
We give a new approach to the study of relations between the Gauss map and compactness properties fo...
This book contains recent results from a group focusing on minimal surfaces in the Moscow State Univ...
In this paper we give a survey of methods of Quaternionic Holomorphic Geometry and of applications o...
We consider complete minimal surfaces (c.m.s.'s) in R3 and their deformations. M1 is an deformation ...
We prove a growth theorem for a function to belong to the class Sigma(mu; a) and generalize a Weiers...
This paper develops new tools for understanding surfaces with more than one end and infinite topolog...
Meeks and Pérez present a survey of recent spectacular successes in classical minimal surface theory...
Abstract. In this paper, we study harmonic mappings by using the shear construc-tion, introduced by ...
We establish a correspondence between two significant deformation theories (by de Jong--van Straten ...
It is known that a compact minimal surface in a 3-dimensional flat torus T 3 = R3/Λ can be regarded ...
The aim of this paper is to investigate a new link between integrable systems and minimal surface th...
The classical notion of the Darboux transformation of isothermic surfaces can be generalised to a tr...
The classical notion of the Darboux transformation of isothermic surfaces can be generalised to a tr...
In this paper we give a survey of methods of Quaternionic Holomorphic Geometry and of applications o...
Abstract. The concept of a conformal deformation has two natural extensions: quasiconformal and harm...
We give a new approach to the study of relations between the Gauss map and compactness properties fo...
This book contains recent results from a group focusing on minimal surfaces in the Moscow State Univ...
In this paper we give a survey of methods of Quaternionic Holomorphic Geometry and of applications o...
We consider complete minimal surfaces (c.m.s.'s) in R3 and their deformations. M1 is an deformation ...
We prove a growth theorem for a function to belong to the class Sigma(mu; a) and generalize a Weiers...
This paper develops new tools for understanding surfaces with more than one end and infinite topolog...
Meeks and Pérez present a survey of recent spectacular successes in classical minimal surface theory...
Abstract. In this paper, we study harmonic mappings by using the shear construc-tion, introduced by ...
We establish a correspondence between two significant deformation theories (by de Jong--van Straten ...
It is known that a compact minimal surface in a 3-dimensional flat torus T 3 = R3/Λ can be regarded ...