Correction to "minimal unit vector fields"

TL;DR

This paper corrects a minor technical mistake in Theorem 14 of the influential work 'Minimal unit vector fields,' ensuring the accuracy of its foundational results in the field.

Contribution

It provides a necessary correction to a key theorem in the seminal paper on minimal unit vector fields, clarifying the original results.

Findings

Corrected Theorem 14 in the original paper

Ensured the accuracy of foundational results

Clarified the technical mistake in the original work

Abstract

The paper "Minimal unit vector fields" by O. Gil-Medrano and E. Llinares-Fuster \cite{GilLli1}. is a seminal paper in the field that has been cited by many authors. It contains, however, a minor technical mistake in Theorem 14 that is important to fix. In this short note, we will provide a correction to that result.