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

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

2010-03-10

arxiv.org/abs/1005.3739v1

Mathematics

Metric Geometry

14pages, 4 figures, 14 conferences

Scientific paper

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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