Extremal problems on configuration spaces of linkages
Starts 28 Jan 2011 14:30
Ends 28 Jan 2011 20:00
Central European Time
Leonardo da Vinci Building Luigi Stasi Seminar Room
Strada Costiera, 11
I - 34151 Trieste (Italy)
We will be concerned with the critical points of the oriented volume and Coulomb potential on configuration spaces of mechanical linkages. The case of a planar polygonal linkage will be considered in some detail. It will be shown that the critical points of the oriented area are given by the cyclic configurations and the
critical values can be calculated using formulae of Heron-Brahmagupta type.
Similar issues will be addressed in the case of Coulomb potential.
Possible generalizations of these results for tensegrity linkages will be also outlined.