Transnormal hypersurfaces
Published online by Cambridge University Press: 24 October 2008
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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