# Harmonic map methods for Willmore surfaces

Source: [Harmonic map methods for Willmore surfaces](<https://www.sota2.com/research/paper/68fa4ea91e209131ce95d20f>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T04:48:53.684Z

Authors: K. Leschke

Published: 2010-03-17T14:01:53.000Z

## Abstract

In this note we demonstrate how the analogy between the harmonic Gauss map of a constant mean curvature surface and the harmonic conformal Gauss map of a Willmore surface can be used to obtain results on Willmore surfaces.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1003.3371>)

[PDF](<https://arxiv.org/pdf/1003.3371.pdf>)