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Sphères Polyédriques Flexibles dans E3, d’après Robert Connelly

  • Nicolaas H. Kuiper
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 710)

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References

  1. [1]
    A. D. Alexandrov, On a class of closed surfaces, Recueil Math.(Moscow) 4 (1938), 69–77.Google Scholar
  2. [2]
    A. D. Alexandrov, Konvexe Polyeder, Akad Verlag. Berlin (1958).Google Scholar
  3. [3]
    R. Bricard, Mémoire sur la théorie de l’octaèdre articulé, J. Math. Pures Appl. (5), 3 (1897), 113–148.zbMATHGoogle Scholar
  4. [4]
    A. L. Cauchy, Sur les polygônes et polyèdres, Second Mémoire, J. Ecole Polytechnique, 19 (1813), 87–98.Google Scholar
  5. [5]
    R. Connelly, An immersed polyhedral surface which flexes, Indiana University Math. J., 25 (1976), 965–972.zbMATHMathSciNetCrossRefGoogle Scholar
  6. [6]
    R. Connelly, The rigidity of suspensions, to appear in the Journal of Differential Topology.Google Scholar
  7. [7]
    R. Connelly, A counter example to the rigidity conjecture for polyhedra, Publ. Math. I.H.E.S. 47 (1978), 333–338.Google Scholar
  8. [8]
    M. Dehn, Uber die Starrheit Konvexer Polyeder Math. Ann. 77 (1916) 466–473.zbMATHMathSciNetCrossRefGoogle Scholar
  9. [9]
    N. W. Efimov, Flächenverbiegung im Grossen, Akad. Verlag, Berlin 1978.Google Scholar
  10. [10]
    H. Gluck, Almost all simply connected closed surfaces are rigid, Lecture Notes in Math. 438, Geometric Topology, Springer-Verlag (1975), 225–239.Google Scholar
  11. [11]
    B. Grünbaum, Lectures on lost mathematics, chapter II. Unpublished.Google Scholar
  12. [12]
    A. Haefliger et V. Poenaru, La classification des immersions combinatoires, Publ. Math. I.H.E.S. 23 (1964) 651–667.zbMATHGoogle Scholar
  13. [13]
    N. H. Kuiper, On C1-isometric embeddings, Indag. Math. XVII, (1954) 545–556 and 683–689.Google Scholar
  14. [14]
    N. H. Kuiper, Isometric and short embeddings, Indag. Math. 1 XXI, (1959), 11–25.MathSciNetGoogle Scholar
  15. [15]
    L. Nirenberg, Rigidity of a class of closed surfaces. Non linear problems. University of Wisconsin Press (1963), 177–193.Google Scholar
  16. [16]
    A. U. Pogorelov, Extrinsic geometry of convex surfaces, Translation of Math. Monographs 35 A.M.S.(1973).Google Scholar
  17. [17]
    E. Steinitz und M. Rademacher, Vorlesungen uber die Theorie der Polyeder, Springer Verlag (1934).Google Scholar
  18. [18]
    W. Whiteley, Infinitesimally rigid polyhedra, Preprint Univ. Quebec.Google Scholar
  19. [19]
    Calendrier 1979, Springer-Verlag.Google Scholar
  20. [20]
    Pour la science, may 1978, p. 10–12.Google Scholar

Copyright information

© N. Bourbaki 1979

Authors and Affiliations

  • Nicolaas H. Kuiper
    • 1
  1. 1.Institut des Hautes Etudes ScientifiquesBures-sur-YvetteFrance

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