Zurück zu den Preprints des Jahres 2008


2008-02

Successive Minima and Radii

by Henk, M., Hernández Cifre, M. A..


Series: 2008-02, Preprints

MSC:
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

Abstract:
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.

Keywords:
Successive minima, inner and outer radii