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Minimal hypersurfaces and geometric inequalities
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 32 (2023) no. 1, pp. 179-201.

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.

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DOI : 10.5802/afst.1734
Simon Brendle 1

1 Department of Mathematics, Columbia University, New York NY 10027, USA
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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Simon Brendle. Minimal hypersurfaces and geometric inequalities. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 32 (2023) no. 1, pp. 179-201. doi : 10.5802/afst.1734. https://afst.centre-mersenne.org/articles/10.5802/afst.1734/

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