Minimal hypersurfaces and geometric inequalities

Simon Brendle

Type: Article

Publication Date: 2023-03-27

Citations: 1

DOI: https://doi.org/10.5802/afst.1734

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.

Locations

Annales de la faculté des sciences de Toulouse Mathématiques - View - PDF
arXiv (Cornell University) - View - PDF

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+	Lectures on Geometric Measure Theory	1984	Leon Simon
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+	Some Applications of Mass Transport to Gaussian-Type Inequalities	2002	Dario Cordero–Erausquin
+	Doubly-connected minimal surfaces	1975	Robert Osserman M. Schiffer
+ PDF Chat	Asymptotic behavior for singularities of the mean curvature flow	1990	Gerhard Huisken
+	The Brunn-Minkowski inequality in Gauss space	1975	Christer Borell