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A characterisation of the ellipsoid
Published online by Cambridge University Press: 09 April 2009
Extract
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
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