In this paper we give a survey of methods of Quaternionic Holomorphic Geometry and of applications of the theory to minimal surfaces. We discuss recent developments in minimal surface theory using integrable systems. In particular, we give the Lopez–Ros deformation and the simple factor dressing in terms of the Gauss map and the Hopf differential of the minimal surface. We illustrate the results for well–known examples of minimal surfaces, namely the Riemann minimal surfaces and the Costa surface
Meeks and Pérez present a survey of recent spectacular successes in classical minimal surface theory...
Much is known about the geometry of a minimal surface in Euclidean space whose Gauss map takes valu...
Minimal Surfaces is the first volume of a three volume treatise on minimal surfaces (Grundlehren Nr....
In this paper we give a survey of methods of Quaternionic Holomorphic Geometry and of applications o...
Abstract. The aim of this paper is to give a new link between integrable systems and minimal surface...
The aim of this paper is to investigate a new link between integrable systems and minimal surface th...
This book contains recent results from a group focusing on minimal surfaces in the Moscow State Univ...
AbstractThere exist a natural correspondence, determined by classical osculation duality, between nu...
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...
A surface in Euclidean 3-space which is given in terms of isothermal coordinates in a domain contain...
AbstractThe minimal surface equation Q in the second order contact bundle of R3, modulo translations...
AbstractThe minimal surface equation Q in the second order contact bundle of R3, modulo translations...
We introduce a new class of p-minimal surfaces. We shaw that the Gauss map of a two-dimensional p-mi...
We introduce a new class of p-minimal surfaces. We shaw that the Gauss map of a two-dimensional p-mi...
Meeks and Pérez present a survey of recent spectacular successes in classical minimal surface theory...
Much is known about the geometry of a minimal surface in Euclidean space whose Gauss map takes valu...
Minimal Surfaces is the first volume of a three volume treatise on minimal surfaces (Grundlehren Nr....
In this paper we give a survey of methods of Quaternionic Holomorphic Geometry and of applications o...
Abstract. The aim of this paper is to give a new link between integrable systems and minimal surface...
The aim of this paper is to investigate a new link between integrable systems and minimal surface th...
This book contains recent results from a group focusing on minimal surfaces in the Moscow State Univ...
AbstractThere exist a natural correspondence, determined by classical osculation duality, between nu...
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...
A surface in Euclidean 3-space which is given in terms of isothermal coordinates in a domain contain...
AbstractThe minimal surface equation Q in the second order contact bundle of R3, modulo translations...
AbstractThe minimal surface equation Q in the second order contact bundle of R3, modulo translations...
We introduce a new class of p-minimal surfaces. We shaw that the Gauss map of a two-dimensional p-mi...
We introduce a new class of p-minimal surfaces. We shaw that the Gauss map of a two-dimensional p-mi...
Meeks and Pérez present a survey of recent spectacular successes in classical minimal surface theory...
Much is known about the geometry of a minimal surface in Euclidean space whose Gauss map takes valu...
Minimal Surfaces is the first volume of a three volume treatise on minimal surfaces (Grundlehren Nr....