A smooth Jordan curve spanning infinitely many stable minimal disks
Year: 2026
Type: preprint
Abstract: This paper gives a negative answer to Problem 93 for immersed minimal surfaces. It constructs a smooth regular Jordan curve in three-dimensional Euclidean space that spans infinitely many strictly stable immersed minimal disks with pairwise distinct geometric images. Their areas increase strictly and converge to a finite limit. Repository: https://github.com/opensource120/Some-Answers-to-Yau-s-120-open-problems-in-geometryPDF at the deposited version: https://github.com/opensource120/Some-Answers-to-Yau-s-120-open-problems-in-geometry/blob/b4f17a71d1712073bf82196a01c29ae04292e5c1/papers/problem_93_stable_minimal_disks.pdfTeX source at the deposited version: https://github.com/opensource120/Some-Answers-to-Yau-s-120-open-problems-in-geometry/blob/b4f17a71d1712073bf82196a01c29ae04292e5c1/papers/stable_minimal_disks.tex
Author: opensource120
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225331369