Eine Charakterisierung der Sphäre im E3 |
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Authors: | Roswitha Blind |
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Affiliation: | (1) Math. Institut B, Universität Stuttgart, Pfaffenwaldring 57, 7000 Stuttgart-80, Bundesrepublik Deutschland |
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Abstract: | It is well known, that in E3 the spheres are the closed convex C2 -surfaces having the property, that each of their closed C2-curves with the total geodesic curvature O bisects the area of the surface. This characterization will be transmitted into the theory of convex surfaces founded by A.D.Alexandrov, where convex surfaces without any differentiability property are studied. |
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