Morse index of a cyclic polygon

Details Morse index of a cyclic polygon Morse index of a cyclic polygon

2010-07-16

arxiv.org/abs/1007.2740v2

Mathematics

Metric Geometry

(corrected 03.09.2010)

Scientific paper

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.

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