A characterisation of the ellipsoid
- 1 November 1970
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 11 (4) , 385-394
- https://doi.org/10.1017/s1446788700007849
Abstract
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.Keywords
This publication has 1 reference indexed in Scilit:
- Kennzeichnende Eigenschaften der Kugel als Folgerung eines Brouwerschen FixpunktsatzesCommentarii Mathematici Helvetici, 1947