Isoperimetric inequality

Known as: Isoperimetric problem, Spherical isoperimetric inequality, Isoperimetric 
In mathematics, the isoperimetric inequality is a geometric inequality involving the surface area of a set and its volume. In -dimensional space the… (More)
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Topic mentions per year

1982-2018
05010019822018

Papers overview

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Highly Cited
2009
Highly Cited
2009
A quantitative sharp form of the classical isoperimetric inequality is proved, thus giving a positive answer to a conjecture by… (More)
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Highly Cited
2007
Highly Cited
2007
Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org… (More)
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Review
2007
Review
2007
  • BY ROBERT OSSERMAN
  • 2007
where A is the area enclosed by a curve C of length L, and where equality holds if and only if C is a circle. The purpose of this… (More)
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2007
2007
We show that the Heisenberg groups H 2n+1 of dimension ve and higher, considered as Rieman-nian manifolds, satisfy a quadratic… (More)
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2004
2004
A purely analytic proof is given for an inequality that has as a direct consequence the two most important affine isoperimetric… (More)
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Highly Cited
2000
Highly Cited
2000
Affine isoperimetric inequalities compare functionals, associated with convex (or more general) bodies, whose ratios are… (More)
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Highly Cited
1995
Highly Cited
1995
We study the smallest number qJ(K) such that a given convex body K in R n can be cut into two parts K 1 and K 2 by a surface with… (More)
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1991
1991
It is shown that if C is an n-dimensional convex body then there is an affine image C of C for which |∂ C| | C| n−1 n is no… (More)
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Highly Cited
1990
Highly Cited
1990
Sinclair and Jerrum derived a bound on the mixing rate of time-reversible Markov chains in terms of their conductance. We… (More)
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Highly Cited
1989
Highly Cited
1989
For Xs V(G), let 8X denote the set of edges of the graph G having one end in X and the other end in V(G)\X. The quantity i(G… (More)
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