# Applications of Quaternionic Holomorphic Geometry to minimal surfaces

Complex Manifolds (2016)

- Volume: 3, Issue: 1, page 282-300
- ISSN: 2300-7443

## Access Full Article

top## Abstract

top## How to cite

topK. Leschke, and K. Moriya. "Applications of Quaternionic Holomorphic Geometry to minimal surfaces." Complex Manifolds 3.1 (2016): 282-300. <http://eudml.org/doc/287120>.

@article{K2016,

abstract = {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.},

author = {K. Leschke, K. Moriya},

journal = {Complex Manifolds},

keywords = {quaternionic holomorphic geometry; minimal surfaces},

language = {eng},

number = {1},

pages = {282-300},

title = {Applications of Quaternionic Holomorphic Geometry to minimal surfaces},

url = {http://eudml.org/doc/287120},

volume = {3},

year = {2016},

}

TY - JOUR

AU - K. Leschke

AU - K. Moriya

TI - Applications of Quaternionic Holomorphic Geometry to minimal surfaces

JO - Complex Manifolds

PY - 2016

VL - 3

IS - 1

SP - 282

EP - 300

AB - 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.

LA - eng

KW - quaternionic holomorphic geometry; minimal surfaces

UR - http://eudml.org/doc/287120

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.