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Curves on Surfaces of Constant Width

Published online by Cambridge University Press:  20 November 2018

William W. Armstrong
William W. Armstrong*
Affiliation:
University of British Columbia
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 1 , April 1966 , pp. 15 - 22
Copyright
Copyright © Canadian Mathematical Society 1966

References

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