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The Kuperberg conjecture is true in two dimensions: any strictly compact C2 figure can be fixed firmly by three points unless it is the disk
(Centro de Investigación y Docencia Económicas, División de Economía, 1998)
We treat the immobilization problem introduced by Kuperberg and Papadimitriou in the case of two dimensional strictly convex figures, proving a strong version of the Kuperberg conjecture, any C2 strictly convex figure ...
Immobilization of n-dimensional geometrical figures
(Centro de Investigación y Docencia Económicas, División de Economía, 1998)
We treat for n-dimensional bodies the immobilization problem introduced by Kuperberg and Papadimitriou, giving the zerocth, first and second order condition for fixing, as well as a geometric characterization of the first ...