most citedThe extremal volume ellipsoids of convex bodies, their symmetry properties, and their determination in some special cases

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math.MG2007★ 12 cited

The extremal volume ellipsoids of convex bodies, their symmetry properties, and their determination in some special cases

Osman Güler, Filiz Gürtuna

A convex body K has associated with it a unique circumscribed ellipsoid CE(K) with minimum volume, and a unique inscribed ellipsoid IE(K) with maximum volume. We first give a unifi…