Some characterisations of the ellipsoid and the Minowski theory of reduction

Aitchison, Peter William

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Some characterisations of the ellipsoid and the Minowski theory of reduction

Date

1968

Authors

Aitchison, Peter William

Abstract

The theory of reduction of convex bodies is concerned with certain relations between a fixed symmetric convex body K and a variable lattice L in n-dimensional Euclidean space Rn. The fundamental concept in this theory is the K-reduced basis of the lattice L. For the definition of such a basis see [lO]a, p.279.