# Two flat structures on minimal surfaces

**Authors:** Hojoo Lee

arXiv: 1802.08169 · 2018-02-23

## TL;DR

This paper explains how two flat structures on minimal surfaces generate a harmonic function that uniquely characterizes Enneper's surface, providing insight into its geometric properties.

## Contribution

It introduces a novel approach linking flat structures and harmonic functions to distinguish Enneper's surface among minimal surfaces.

## Key findings

- Two flat structures induce a harmonic function on minimal surfaces.
- The harmonic function uniquely characterizes Enneper's surface.
- Provides a new perspective on the geometry of minimal surfaces.

## Abstract

In this expository article, we illustrate how two independent flat structures on minimal surfaces induce a harmonic function, which captures the uniqueness of Enneper's surface.

## Full text

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## Figures

1 figure with captions in the complete paper: https://tomesphere.com/paper/1802.08169/full.md

## References

10 references — full list in the complete paper: https://tomesphere.com/paper/1802.08169/full.md

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Source: https://tomesphere.com/paper/1802.08169