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Curves on Surfaces of Constant Width
Published online by Cambridge University Press: 20 November 2018
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A surface S of constant width is the boundary of a convex set K of constant width in euclidean 3-dimensional space E3. (See [l] pp. 127–139. )
Our first result concerns the interdependence of five properties which a curve on such a surface may possess. Let S be a surface of constant width D > 0 which satisfies the smoothness condition that it be a 2-dimensional submanifold of E3 of class C2.
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- Copyright © Canadian Mathematical Society 1966