It had been suspected that any (connected) polyhedral surface, convex or not, (with its triangular faces, say, held rigid) was rigid, but this has turned out to be false (see Connelly [7]). W e extend Cauchy’s theorem to show that any convex polyhedral surface, no matter how it is triangulated, is rigid. Note that vertices are allowed in the relative… (More)

Qualitative problems of the theory of deformations of surfaces, Uspehi Ma

N. V. EFIMOV

Mauk 3,

1948

Highly Influential

8 Excerpts

Algebraic approximations of structures over complete local rings, Insf

M. ARTIN

Huuies Etudes Sci. Publ. Math. No

1969

Highly Influential

2 Excerpts

Almost all simply connected surfaces are rigid, in “Geometric Topology,

H. GLUCK

Lecture Notes in Mathematics No. 438,

1975

MILNOR, The curve selection lemma, in “Singular Points of Complex Hypersurfaces,

W. J

1968

On the solutions of analytic equations

M. ARTIN

Invent. Math

1968

1 Excerpt

Algebraic approximation of curves, Canad

A. H. WALLACE

J. Malh

1958

Similar Papers

Loading similar papers…

Cite this paper

@inproceedings{Connelly1980TheRO,
title={The Rigidity of Certain Cabled Frameworks and the Second-Order Rigidity of Arbitrarily Triangulated Convex Surfaces},
author={Robert Connelly},
year={1980}
}