Willmore surfaces in spheres: the DPW approach via the conformal Gauss map
Differential Geometry
2019-03-05 v1
Abstract
The paper builds a DPW approach of Willmore surfaces via conformal Gauss maps. As applications, we provide descriptions of minimal surfaces in , isotropic surfaces in and homogeneous Willmore tori via the loop group method. A new example of a Willmore two-sphere in without dual surfaces is also presented.
Keywords
Cite
@article{arxiv.1903.00883,
title = {Willmore surfaces in spheres: the DPW approach via the conformal Gauss map},
author = {Josef F. Dorfmeister and Peng Wang},
journal= {arXiv preprint arXiv:1903.00883},
year = {2019}
}
Comments
23 pages. Following the suggestion of some anonymous referee we have divided the paper entitled "Willmore surfaces in spheres via loop groups I: generic cases and some examples" (arXiv:1301.2756) into three parts. The present paper is part II and [15,16] are part I and part III respectively