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arxiv: 1605.06254 · v1 · pith:6KIQHCDEnew · submitted 2016-05-20 · 🧮 math.DG

A lower bound for the isoperimetric deficit

classification 🧮 math.DG
keywords boundcurvedeficitgeometricalisoperimetriclowerbonnesen-stylecase
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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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