| P.R. Cromwell, Polyhedra, Cambridge Univ. Press, 1997. |
....a neighborhood of #(P) in K#. 4. The Infinitesimal Rigidity Lemma This section is devoted to the proof of the Infinitesimal Rigidity Lemma of Proposition 10. The proof follows the general lines of the famous arguments of Cauchy [Ca] on the deformations of convex polyhedra in E 3 (see also [St][Cr]) as adapted to hyperbolic polyhedra by Andreev [An1] and Rivin [RiH] For polyhedra which are strictly hyperideal, namely whose vertices are all outside of the closure of H 3 , this proof is essentially contained in [RiH, 4] if we use the truncated polyhedron introduced in 1. Recall that we ....
P.R. Cromwell, Polyhedra, Cambridge Univ. Press, 1997.
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