A characterisation of the ellipsoid
1970 ◽
Vol 11
(4)
◽
pp. 385-394
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Keyword(s):
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.
1972 ◽
Vol 14
(3)
◽
pp. 336-351
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1968 ◽
Vol 8
(1)
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pp. 56-62
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Keyword(s):
2009 ◽
Vol 52
(3)
◽
pp. 361-365
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Keyword(s):
1953 ◽
Vol 49
(1)
◽
pp. 54-58
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Keyword(s):
2011 ◽
Vol 43
(2)
◽
pp. 308-321
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1962 ◽
Vol 58
(2)
◽
pp. 217-220
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Keyword(s):
1959 ◽
Vol 11
◽
pp. 256-261
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Keyword(s):
1981 ◽
Vol 23
(2)
◽
pp. 249-253
◽
2011 ◽
Vol 43
(02)
◽
pp. 308-321
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Keyword(s):