A strong form of the Quantitative Isoperimetric inequality

Details A strong form of the Quantitative Isoperimetric inequality A strong form of the Quantitative Isoperimetric inequality

2011-11-21

arxiv.org/abs/1111.4866v1

Mathematics

Metric Geometry

Scientific paper

We give a refinement of the quantitative isoperimetric inequality. We prove
that the isoperimetric gap controls not only the Fraenkel asymmetry but also
the oscillation of the boundary.

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