Second variation of one-sided complete minimal surfaces

TL;DR

This paper investigates the stability and index of complete one-sided minimal surfaces within specific three-dimensional Riemannian manifolds that have positive scalar curvature.

Contribution

It provides new insights into the stability properties and index calculations for these minimal surfaces in positively curved 3-manifolds.

Findings

Analysis of stability conditions

Determination of index bounds

Characterization of minimal surfaces in positive scalar curvature environments

Abstract

The stability and the index of complete one-sided minimal surfaces of certain three-dimensional Riemannian manifolds with positive scalar curvature are studied.