Minimal hypersurfaces and geometric inequalities

Brendle, Simon

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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