Minimal hypersurfaces and geometric inequalities
Differential Geometry
2023-03-14 v3
Abstract
In this expository paper, we discuss some of the main geometric inequalities for minimal hypersurfaces. These include the classical monotonicity formula, the Alexander-Osserman conjecture, the isoperimetric inequality for minimal surfaces, and the Michael-Simon Sobolev inequality.
Cite
@article{arxiv.2010.03425,
title = {Minimal hypersurfaces and geometric inequalities},
author = {S. Brendle},
journal= {arXiv preprint arXiv:2010.03425},
year = {2023}
}
Comments
final version, to appear in Annales de la Facult\'e des Sciences de Toulouse