Sphères polyédriques flexibles dans E 3

Nicolaas H. Kuiper

Séminaire Bourbaki (1977-1978)

  • Volume: 20, page 147-168
  • ISSN: 0303-1179

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Kuiper, Nicolaas H.. "Sphères polyédriques flexibles dans $E^3$." Séminaire Bourbaki 20 (1977-1978): 147-168. <http://eudml.org/doc/109914>.

@article{Kuiper1977-1978,
author = {Kuiper, Nicolaas H.},
journal = {Séminaire Bourbaki},
keywords = {flexibility and rigidity of polyhedral surfaces; rigidity of smooth surfaces},
language = {fre},
pages = {147-168},
publisher = {Springer-Verlag},
title = {Sphères polyédriques flexibles dans $E^3$},
url = {http://eudml.org/doc/109914},
volume = {20},
year = {1977-1978},
}

TY - JOUR
AU - Kuiper, Nicolaas H.
TI - Sphères polyédriques flexibles dans $E^3$
JO - Séminaire Bourbaki
PY - 1977-1978
PB - Springer-Verlag
VL - 20
SP - 147
EP - 168
LA - fre
KW - flexibility and rigidity of polyhedral surfaces; rigidity of smooth surfaces
UR - http://eudml.org/doc/109914
ER -

References

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  1. [1] A.D. Alexandrov, On a class of closed surfaces, Recueil Math.(Moscow)4 (1938), 69-77. 
  2. [2] A.D. Alexandrov, Konvexe Polyeder, Akad Verlag. Berlin (1958). Zbl0079.16303MR92989
  3. [3] R. Bricard, Mémoire sur la théorie de l'octaèdre articulé, J. Math. Pures Appl. (5), 3 (1897), 113-148. Zbl28.0624.01JFM28.0624.01
  4. [4] A.L. Cauchy, Sur les polygônes et polyèdres, Second Mémoire, J. Ecole Polytechnique, 19 (1813), 87-98. 
  5. [5] R. Connelly, An immersed polyhedral surface which flexes, Indiana University Math. J., 25 (1976), 965-972. Zbl0342.57008MR428337
  6. [6] R. Connelly, The rigidity of suspensions, to appear in the Journal of Differential Topology. Zbl0396.51014MR551568
  7. [7] R. Connelly, A counter example to the rigidity conjecture for polyhedra, Publ. Math. I.H.E.S.47 (1978), 333-338. Zbl0375.53034MR488071
  8. [8] M. Dehn, Uber die Starrheit Konvexer PolyederMath. Ann.77 (1916) 466-473. Zbl46.1115.01MR1511873JFM46.1115.01
  9. [9] N.W. Efimov, Flächenverbiegung im Grossen, Akad. Verlag, Berlin1978. MR105722
  10. [10] H. Gluck, Almost all simply connected closed surfaces are rigid, Lecture Notes in Math.438, Geometric Topology, Springer-Verlag (1975), 225-239. Zbl0315.50002MR400239
  11. [11] B. Grünbaum, Lectures on lost mathematics, chapter II. Unpublished. 
  12. [12] A. Haefliger et V. Poenaru, La classification des immersions combinatoires, Publ. Math. I.H.E.S.23 (1964) 651-667. Zbl0147.42502MR172296
  13. [13] N.H. Kuiper, On C1-isometric embeddings, Indag. Math.XVII, (1954) 545-556 and 683-689. Zbl0067.39601MR75640
  14. [14] N.H. Kuiper, Isometric and short embeddings, Indag. Math.1XXI, (1959), 11-25. Zbl0092.14703MR100891
  15. [15] L. Nirenberg, Rigidity of a class of closed surfaces. Non linear problems. University of Wisconsin Press (1963), 177-193. Zbl0111.34402MR150705
  16. [16] A.U. Pogorelov, Extrinsic geometry of convex surfaces, Translation of Math. Monographs35A.M.S.(1973). Zbl0311.53067MR346714
  17. [17] E. Steinitz und M. Rademacher, Vorlesungen uber die Theorie der Polyeder, Springer Verlag (1934). Zbl0325.52001
  18. [18] W. Whiteley, Infinitesimally rigid polyhedra, Preprint Univ. Quebec. 
  19. [19] Calendrier 1979, Springer-Verlag. 
  20. [20] Pour la science, may 1978, p. 10-12. 

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