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arXiv:1605.06254 [math.DG]AbstractReferencesReviewsResources

A lower bound for the isoperimetric deficit

Julià Cufí, Agustí Reventós

Published 2016-05-20Version 1

In this paper we provide a Bonnesen-style inequality which gives a lower bound for the isoperimetric deficit corresponding to a closed convex curve in terms of some geometrical invariants of this curve. Moreover we give a geometrical interpretation for the case when equality holds.

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