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A characterisation of the ellipsoid

Published online by Cambridge University Press:  09 April 2009

P. W. Aitchison
P. W. Aitchison
Affiliation:
Australian National UniversityCanberra
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The ellipsoid is characterised among all convex bodies in n-dimensional Euclidean space, Rn, by many different properties. In this paper we give a characterisation which generalizes a number of previous results mentioned in [2], p. 142. The major result will be used, in a paper yet to be published, to prove some results concerning generalizations of the Minkowski theory of reduction of positive definite quadratic forms.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 11 , Issue 4 , November 1970 , pp. 385 - 394
Copyright
Copyright © Australian Mathematical Society 1970

References

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