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Congruent sections of a
convex body
Geoffrey R. Burton |
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Vol. 81 (1979), No. 2, 303–316
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Abstract |
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It is shown that if all the 3-dimensional sections of a convex body K, of dimension at least 4, through a fixed inner point are congruent, then K is a euclidean ball. A dual result concerning projections is also proved. |
Mathematical Subject Classification 2000
Primary: 52A20
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Milestones
Received: 12 June 1978
Published: 1 April 1979
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Authors |
| Geoffrey R. Burton | |
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