The level sets of the chain length function derived from equilateral and equiangular 5-polygonal chains with simplicity

zbMath1487.55025MaRDI QIDQ2135500

Jun-Ichiro Yagi

Publication date: 9 May 2022

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/nihonkai-mathematical-journal/volume-32/issue-1/The-level-sets-of-the-chain-length-function-derived-from/nihmj/1631548890.full

zbMATH Keywords

configuration spacestraight chainchain length functionsimple polygonal chain

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Discriminantal varieties and configuration spaces in algebraic topology (55R80) General geometric structures on low-dimensional manifolds (57M50) Discrete geometry (52C99) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Cites Work

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• The configuration space of a model for 5-membered straight-chain hydrocarbon molecules parametrized by chain lengths
• The configuration space of a model for ringed hydrocarbon molecules
• The closed chains with spherical configuration spaces
• On the level set of a function with degenerate minimum point
• The squared chain length function of 5 or 6-membered straight-chains with the tetrahedral bond angle
• The configuration space of almost regular polygons
• The configuration space of equilateral and equiangular hexagons

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