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Successive Minima and Radii

by Henk, M., Hernández Cifre, M. A..

Series: 2008-02, Preprints

52A20 Convex sets in $n$ dimensions (including convex hypersurfaces)
52C07 Lattices and convex bodies in $n$ dimensions
52A40 Inequalities and extremum problems
52A39 Mixed volumes and related topics

In this note we present inequalities relating the successive minima of a o-symmetric convex body and the successive inner and outer radii of the body. These inequalities build a bridge between known inequalities involving only either the successive minima or the successive radii.

Successive minima, inner and outer radii