# Minimal annuli with constant contact angle along the planar boundaries

## TL;DR

This paper proves that an immersed minimal annulus with planar boundary curves meeting the planes at a constant contact angle must be part of a catenoid, characterizing such surfaces uniquely.

## Contribution

It establishes a uniqueness result for minimal annuli with constant contact angle boundary conditions, linking them specifically to catenoids.

## Key findings

- Any immersed minimal annulus with the given boundary conditions is part of a catenoid.
- The boundary conditions enforce a specific geometric structure.
- The result characterizes minimal annuli with constant contact angles uniquely as catenoids.

## Abstract

We show that an immersed minimal annulus, with two planar boundary curves along which the surface meets these planes with constant contact angle, is part of the catenoid.