Localization of min-max minimal hypersurfaces
Differential Geometry
2023-10-13 v1
Abstract
We show that min-max minimal hypersurfaces can be localized. As a consequence, we obtain the sharp generalization to complete manifolds of the famous Almgren-Pitts min-max theorem in closed manifolds. We use this result to prove the existence of a complete embedded finite area minimal hypersurface of index at most one in every balanced complete manifold.
Cite
@article{arxiv.2310.08363,
title = {Localization of min-max minimal hypersurfaces},
author = {Douglas Stryker},
journal= {arXiv preprint arXiv:2310.08363},
year = {2023}
}
Comments
12 pages