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arxiv: 1005.3739 · v1 · submitted 2010-03-10 · 🧮 math.MG

Convex Bodies With Minimal Volume Product in R² --- A New Proof

classification 🧮 math.MG
keywords bodiesconvexminimalproductproofbodyfollowinggiven
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In this paper, a new proof of the following result is given: The product of the volumes of an origin symmetric convex bodies $K$ in R^2 and of its polar body is minimal if and only if $K$ is a parallelogram.

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