Convex Bodies With Minimal Volume Product in R^2 --- A New Proof

preprint2010arXivOpen access

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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Convex Bodies With Minimal Volume Product in R^2 --- A New Proof

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