Geodesic
Curves on Surfaces of Constant Width
Canadian mathematical bulletin, Tome 9 (1966) no. 1, pp. 15-22

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Armstrong, William W. Curves on Surfaces of Constant Width. Canadian mathematical bulletin, Tome 9 (1966) no. 1, pp. 15-22. doi: 10.4153/CMB-1966-002-2
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[1] 1. Bonnesen, T., Fenchel, W., Theorie der konvexen Körper. Chelsea Publishing Company, New York (1948). Google Scholar

[2] 2. Busemann, H., Convex surfaces, Interscience Publishers, Inc., New York (1958). Google Scholar

[3] 3. Hartman, P., On the local uniqueness of geodesies, Amer. J. Math. 72 (1950) pp. 723-730. Google Scholar

[4] 4. Willmore, T.J., An introduction to differential geometry. Oxford University Press, London (1959). Google Scholar

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