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math.DG2024
The isoperimetric inequality
Simon Brendle, Michael Eichmair
We discuss several classical and recent proofs of the isoperimetric inequality and the Sobolev inequality.
math.DG2024★ 1 cited
Eigenvalue estimates on shrinkers
S. Brendle, R. Tsiamis
We prove an eigenvalue estimate which holds on every properly embedded shrinker for mean curvature flow. This generalizes earlier work of Ding and Xin to the noncompact case.