Morse index of a cyclic polygon
Metric Geometry
2010-09-06 v2
Abstract
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.
Cite
@article{arxiv.1007.2740,
title = {Morse index of a cyclic polygon},
author = {Gaiane Panina and Alena Zhukova},
journal= {arXiv preprint arXiv:1007.2740},
year = {2010}
}
Comments
(corrected 03.09.2010)