Morse index of a cyclic polygon

Gaiane Panina; Alena Zhukova

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arXiv · 1007.2740

Morse index of a cyclic polygon

Gaiane Panina·Alena Zhukova

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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.

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BibTeX RIS

Gaiane Panina, Alena Zhukova. 2010-09-03. Morse index of a cyclic polygon. https://arxiv.org/abs/1007.2740

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