2010/07/16 by Panina, Gaiane, Zhukova, Alena
#52B10 #52B70 #FOS: Mathematics #Metric Geometry (math.MG)
paper · doi:10.48550/arxiv.1007.2740
It is known that cyclic configurations of a planar polygonal linkage are critical points of the signed area function. In the paper, we announce an explicit formula of the Morse index for the signed area of a cyclic configuration. It depends not only on the combinatorics of a cyclic configuration, but also includes some metric characterization.