Skip to main content

Sphères Polyédriques Flexibles dans E3, d’après Robert Connelly

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 710))

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. D. Alexandrov, On a class of closed surfaces, Recueil Math.(Moscow) 4 (1938), 69–77.

    Google Scholar 

  2. A. D. Alexandrov, Konvexe Polyeder, Akad Verlag. Berlin (1958).

    Google Scholar 

  3. R. Bricard, Mémoire sur la théorie de l’octaèdre articulé, J. Math. Pures Appl. (5), 3 (1897), 113–148.

    MATH  Google Scholar 

  4. A. L. Cauchy, Sur les polygônes et polyèdres, Second Mémoire, J. Ecole Polytechnique, 19 (1813), 87–98.

    Google Scholar 

  5. R. Connelly, An immersed polyhedral surface which flexes, Indiana University Math. J., 25 (1976), 965–972.

    Article  MATH  MathSciNet  Google Scholar 

  6. R. Connelly, The rigidity of suspensions, to appear in the Journal of Differential Topology.

    Google Scholar 

  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. M. Dehn, Uber die Starrheit Konvexer Polyeder Math. Ann. 77 (1916) 466–473.

    Article  MATH  MathSciNet  Google Scholar 

  9. N. W. Efimov, Flächenverbiegung im Grossen, Akad. Verlag, Berlin 1978.

    Google Scholar 

  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. B. Grünbaum, Lectures on lost mathematics, chapter II. Unpublished.

    Google Scholar 

  12. A. Haefliger et V. Poenaru, La classification des immersions combinatoires, Publ. Math. I.H.E.S. 23 (1964) 651–667.

    MATH  Google Scholar 

  13. N. H. Kuiper, On C1-isometric embeddings, Indag. Math. XVII, (1954) 545–556 and 683–689.

    Google Scholar 

  14. N. H. Kuiper, Isometric and short embeddings, Indag. Math. 1 XXI, (1959), 11–25.

    MathSciNet  Google Scholar 

  15. L. Nirenberg, Rigidity of a class of closed surfaces. Non linear problems. University of Wisconsin Press (1963), 177–193.

    Google Scholar 

  16. A. U. Pogorelov, Extrinsic geometry of convex surfaces, Translation of Math. Monographs 35 A.M.S.(1973).

    Google Scholar 

  17. E. Steinitz und M. Rademacher, Vorlesungen uber die Theorie der Polyeder, Springer Verlag (1934).

    Google Scholar 

  18. W. Whiteley, Infinitesimally rigid polyhedra, Preprint Univ. Quebec.

    Google Scholar 

  19. Calendrier 1979, Springer-Verlag.

    Google Scholar 

  20. Pour la science, may 1978, p. 10–12.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1979 N. Bourbaki

About this paper

Cite this paper

Kuiper, N.H. (1979). Sphères Polyédriques Flexibles dans E3, d’après Robert Connelly. In: Séminaire Bourbaki vol. 1977/78 Exposés 507–524. Lecture Notes in Mathematics, vol 710. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0069977

Download citation

  • DOI: https://doi.org/10.1007/BFb0069977

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09243-8

  • Online ISBN: 978-3-540-35340-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics