Reference : On the infinitesimal rigidity of weakly convex polyhedra
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/852
On the infinitesimal rigidity of weakly convex polyhedra
English
Connelly, Robert [> >]
Schlenker, Jean-Marc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2010
European Journal of Combinatorics
31
4
1080--1090
Yes (verified by ORBilu)
International
0195-6698
[en] The main motivation here is a question: whether any polyhedron which can be subdivided into convex pieces without adding a vertex, and which has the same vertices as a convex polyhedron, is infinitesimally rigid. We prove that it is indeed the case for two classes of polyhedra: those obtained from a convex polyhedron by ``denting'' at most two edges at a common vertex, and suspensions with a natural subdivision.
http://hdl.handle.net/10993/852
also: http://hdl.handle.net/10993/9829
10.1016/j.ejc.2009.09.006
2607252 (2011b:52027)

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