Applications of Quaternionic Holomorphic Geometry to minimal surfaces

K. 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 -