Abstract
We consider equilateral and equiangular -polygonal chains in with vertices, i.e. equilateral and equiangular spatial polygonal chains with vertices. Let be the configuration space consisting of such polygonal chains with the bond angle . In this article, we assume that and that satisfies . This bond angle condition gives that each polygonal chain in is an equilateral and equiangular simple open or closed polygonal chain. The aim of this article is to study the level sets of the chain length function on under the bond angle condition.
Acknowledgments
The author is very grateful to the referees for giving me a lot of valuable comments and pointing out my mistake in this paper.
Citation
Jun Yagi. "The level sets of the chain length function derived from equilateral and equiangular 5-polygonal chains with simplicity." Nihonkai Math. J. 32 (1) 1 - 13, 2021.
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