A problem concerning three-dimensional convex bodies
Published online by Cambridge University Press: 24 October 2008
Extract
1. The problem considered in this paper arose during an investigation of what Chabauty has called the ‘anomaly’ of convex bodies.
Throughout the paper denotes a closed bounded convex body in three-dimensional Euclidean space , which is symmetric in the origin O and which contains O as an interior point. Such a body determines uniquely a distance-function f(x, y, z) which is defined and finite for each point (x, y, z) of and possesses the following properties
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 1 , January 1953 , pp. 44 - 53
- Copyright
- Copyright © Cambridge Philosophical Society 1953
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