2 papers
math.DG2022
Min-max free boundary minimal surface with genus at least one
Yuchin Sun
In this paper, we build up a min-max theory for minimal surfaces using sweepouts of surfaces of genus and ideal boundary components. We show that the width for…
math.DG2020
Morse Index Bound for Minimal Two Spheres
Yuchin Sun
Given a closed manifold of dimension at least three, with non trivial homotopy group π_3(M) and a generic metric, we prove that there is a finite collection of harmonic spheres wit…