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Die meisten konvexen Körper sind glatt, aber nicht zu glatt

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Literatur

  1. Blaschke, W.: Kreis und Kugel. Leipzig: Göschen 1916, New York: Chelsea 1949, Berlin: de Gruyter 1956

    Google Scholar 

  2. Eisenhart, L.P.: Riemannian geometry. Princeton: Princeton University Press 1949

    Google Scholar 

  3. Gruber, P.M.: The space of compact subsets ofE d. Eingereicht

  4. Hausdorff, F.: Grundzüge der Mengenlehre. Leipzig: Göschen 1914, New York: Chelsea 1949, 1965

    Google Scholar 

  5. Holmes, R.B.: Geometric functional analysis and its applications. New York, Heidelberg, Berlin: Springer 1975

    Google Scholar 

  6. Kirčev, K.P., Trojanski, S.L.: Über eine Charakterisierung von Räumen mit skalarem Produkt. C. r. Acad. Bulgar. Sci.28, 445–447 (1975), (Russ.) Zbl.327, 46031 (1977)

    Google Scholar 

  7. Koutroufiotis, D.: On Blaschke's rolling theorems. Arch. Math.23, 655–660 (1972)

    Google Scholar 

  8. Kreyszig, E.: Differentialgeometrie. Leipzig: Geest and Portig 1968

    Google Scholar 

  9. Oxtoby, J.C.: Maß und Kategorie. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  10. Shephard, G.C.: Decomposable convex polyhedra. Mathematika10, 89–95 (1963)

    Google Scholar 

  11. Vincensini, P.: Corps convexes. Séries linéaires. Domains vectoriels. Paris: Gauthier-Villars 1938

    Google Scholar 

  12. Klee, V.: Some new results on smoothness and rotundity in normed linear spaces. Math. Annalen139, 51–63 (1959)

    Google Scholar 

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Gruber, P.M. Die meisten konvexen Körper sind glatt, aber nicht zu glatt. Math. Ann. 229, 259–266 (1977). https://doi.org/10.1007/BF01391471

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