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Mathematische Annalen

, Volume 252, Issue 3, pp 217–219 | Cite as

Nonexistence of curvature in most points of most convex surfaces

  • Tudor Zamfirescu
Article

Keywords

Convex Surface 
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References

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    Aleksandrov, A.D.: Almost everywhere existence of the second differential of a convex function and some properties of convex surfaces connected with it (Russian). Uchenye Zapiski Leningrad. Gos. Univ. Math. Ser.6, 3–35 (1939)Google Scholar
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    Busemann, H.: Convex Surfaces. New York: Interscience Publishers 1958Google Scholar
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    Busemann, H., Feller, W.: Krümmungseigenschaften konvexer Flächen. Acta Math.66, 1–47 (1935)Google Scholar
  4. 4.
    Gruber, P.M.: Die meisten konvexen Körper sind glatt, aber nicht zu glatt. Math. Ann.229, 259–266 (1977)Google Scholar
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    Klee, V.: Some new results on smoothness and rotundity in normed linear spaces. Math. Ann.139, 51–63 (1959)Google Scholar
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    Schneider, R.: On the curvatures of convex bodies. Math. Ann.240, 177–181 (1979)Google Scholar
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    Zamfirescu, T.: The curvature of most convex surfaces vanishes almost everywhere (to appear in Math. Z.)Google Scholar
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    Zamfirescu, T.: Intersections of tangent convex curves (to appear)Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Tudor Zamfirescu
    • 1
  1. 1.Abteilung Mathematik der UniversitätDortmund 50Federal Republic of Germany

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