The configuration space of a model for ringed hydrocarbon molecules

DOI10.32917/hmj/1333113009zbMath1238.92069OpenAlexW1565346730WikidataQ128869679 ScholiaQ128869679MaRDI QIDQ424591

Satoru Goto, Kazushi Komatsu

Publication date: 1 June 2012

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

Full work available at URL: https://projecteuclid.org/euclid.hmj/1333113009

zbMATH Keywords

Morse functionmolecular structure

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) General geometric structures on low-dimensional manifolds (57M50) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (6)

The configuration space of a model for 5-membered straight-chain hydrocarbon molecules parametrized by chain lengths ⋮ The level sets of the chain length function derived from equilateral and equiangular 5-polygonal chains with simplicity ⋮ THE DIFFERENTIAL STRUCTURE ON THE CONFIGURATION SPACE OF A MATHEMATICAL MODEL FOR CYCLOALKENES ⋮ The configuration space of a model for ringed hydrocarbon molecules ⋮ 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

Cites Work

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• The configuration space of a model for ringed hydrocarbon molecules
• Some examples of the use of distances as coordinates for euclidean geometry
• Reconfiguring closed polygonal chains in Euclidean \(d\)-space
• The geometry of configuration spaces for closed chains in two and three dimensions
• Morse Theory. (AM-51)
• Spaces of Polygons in the Plane and Morse Theory
• On the moduli space of polygons in the Euclidean plane

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