Lower bounds for index of Wente tori

TL;DR

This paper numerically demonstrates that all known Wente tori with constant mean curvature have an index of at least eight, providing a lower bound on their stability properties.

Contribution

It establishes a numerical lower bound on the index of Wente tori, advancing understanding of their stability characteristics.

Findings

Wente tori have an index of at least eight

Numerical methods used to determine stability bounds

Provides new insights into the stability of constant mean curvature surfaces

Abstract

We show numerically that any of the constant mean curvature tori first found by Wente must have index at least eight.