The sharp quantitative isoperimetric inequality
نویسندگان
چکیده
منابع مشابه
A Sharp Quantitative Isoperimetric Inequality in Higher Codimension
We establish a quantitative isoperimetric inequality in higher codimension. In particular, we prove that for any closed (n − 1)-dimensional manifold Γ in Rn+k the following inequality D(Γ) ≥ Cd(Γ) holds true. Here, D(Γ) stands for the isoperimetric gap of Γ, i.e. the deviation in measure of Γ from being a round sphere and d(Γ) denotes a natural generalization of the Fraenkel asymmetry index of ...
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ژورنال
عنوان ژورنال: Annals of Mathematics
سال: 2008
ISSN: 0003-486X
DOI: 10.4007/annals.2008.168.941