Geometric Topology pp 225-239 | Cite as
Almost all simply connected closed surfaces are rigid
Conference paper
First Online:
Keywords
Simplicial Complex Algebraic Variety Closed Surface Angular Velocity Vector Underlying Space
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- 1.A. D. Alexandrov, Konvexe Polyeder, Akad.-Verlag, Berlin (1958).Google Scholar
- 2.A. Cauchy, Sur les polygones et polyedres, Second Memoire, J. École Polytechnique 9, 87 (1813).Google Scholar
- 3.S. E. Cohn-Vossen, Die Verbiegung von Flächen im Grossen, Fortschr. Math. Wiss. 1 (1936), 33–76.Google Scholar
- 4.M. Dehn, Uber die Starrheit konvexer Polyeder, Math. Ann. 77 (1916), 466–473.MathSciNetCrossRefMATHGoogle Scholar
- 5.N. W. Efimov, Flächenverbiegung im Grossen, Akad.-Verlag, Berlin (1957).Google Scholar
- 6.L. Euler, Opera postuma, I, Petropoli (1862), 494–496.Google Scholar
- 7.R. Langer, On the rigidity of polyhedra, Harvard honors thesis (1973).Google Scholar
- 8.H. Liebmann, Über die Verbiegung der geschlossenen Flächen positiver Krümmung, Math. Ann. 53 (1900), 81–112.MathSciNetCrossRefMATHGoogle Scholar
- 9.L. A. Lyusternik, Convex Figures and Polyhedra, D. C. Heath, Boston (1966).MATHGoogle Scholar
- 10.A. Wallace, Algebraic approximation of curves, Canad. J. Math. 10 (1958), 242–278.MathSciNetCrossRefMATHGoogle Scholar
- 11.H. Weyl, Über die Starrheit der Eiflächen und konvexen Polyeder, S.-B. Preuss. Akad. Wiss. (1917), 250–266.Google Scholar
- 12.H. Whitney, Elementary structures of real algebraic varieties, Ann. of Math. 66 (1957), 545–556.MathSciNetCrossRefMATHGoogle Scholar
Copyright information
© Springer-Verlag 1975