A Liouville-type theorem for stable minimal hypersurfaces
Differential Geometry
2021-08-17 v2
Abstract
We prove that if is a strictly stable complete minimal hypersurface in Euclidean space with finite density at infinity and which lies on one side of a minimal cylinder with cross-section a strictly stable area minimizing hypercone, then must be cylindrical. Applications will be given in the references [Sim20a], [Sim20b].
Cite
@article{arxiv.2101.06404,
title = {A Liouville-type theorem for stable minimal hypersurfaces},
author = {Leon Simon},
journal= {arXiv preprint arXiv:2101.06404},
year = {2021}
}
Comments
Minor revisions in accordance with journal refereeing requests