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Transnormal hypersurfaces

Published online by Cambridge University Press:  24 October 2008

J. Bolton
J. Bolton
Affiliation:
The University, Durham
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Extract

Let M be a C∞ manifold smoothly embedded as a convex hypersurface of Euclidean n-space n. M has constant width if the distance between each pair of parallel supporting hyperplanes in n is equal. This is equivalent to the condition that any chord of M normal to M at one end-point be normal to M at both end-points.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 74 , Issue 1 , July 1973 , pp. 43 - 48
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

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