# Stability properties of 2-lobed Delaunay tori in the 3-sphere

## TL;DR

This paper proves that 2-lobed Delaunay tori in the 3-sphere are stable under constrained Willmore surface conditions, contributing to the understanding of their geometric stability.

## Contribution

It demonstrates the stability of 2-lobed Delaunay tori as constrained Willmore surfaces in the 3-sphere, a new result in differential geometry.

## Key findings

- 2-lobed Delaunay tori are stable as constrained Willmore surfaces
- Provides insight into the geometric stability of these tori
- Advances understanding of surface stability in 3-sphere geometry

## Abstract

We show that the of 2-lobed Delaunay tori are stable as constrained Willmore surfaces in the 3-sphere.