Nearly all convex bodies are smooth and strictly convex
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/BF01302711.pdf
Reference8 articles.
1. Busemann, H.: Convex Surfaces. New York: Interscience. 1958.
2. Gruber, P. M.: Die meisten konvexen Körper sind glatt, aber nicht zu glatt. Math. Ann.229, 259?266 (1977).
3. Gruber, P. M.: Results of Baire Category Type in Convexity. In: Discrete Geometry and Convexity. Ann. New York Acad. Sci.440, 163?169 (1985).
4. Klee, V.: Some new results on smoothness and rotundity in normed linear spaces. Math. Ann.139, 51?63 (1959).
5. Zamfirescu, T.: The curvature of most convex surfaces vanishes almost everywhere. Math. Z.174, 135?139 (1980).
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