Classical mechanics of minimal tori in S^3

TL;DR

This paper models minimal tori in the 3-sphere using classical mechanics, uncovering unique properties of the Clifford torus and clarifying the periodicity conditions of these minimal surfaces.

Contribution

It introduces a classical mechanics framework for describing minimal tori in S^3 and highlights special properties of the Clifford torus.

Findings

Revealed a special property of the Clifford torus

Made the periodicity condition more explicit

Established a classical mechanics approach to minimal tori

Abstract

We formulate a class of minimal tori in S^3 in terms of classical mechanics, reveal a curious property of the Clifford torus, and note that the question of periodicity can be made more explicit in a simple way.