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March 2012 The configuration space of a model for ringed hydrocarbon molecules
Satoru Goto, Kazushi Komatsu
Hiroshima Math. J. 42(1): 115-126 (March 2012). DOI: 10.32917/hmj/1333113009

Abstract

We give a mathematical model of $n$-membered ringed hydrocarbon molecules, and study the topology of a configuration space $C_{n}$ of the model. Under the bond angle conditions required for ringed molecules, we prove that $C_{n}$ is homeomorphic to $(n-4)$-dimensional sphere $S^{n-4}$ when $n = 5, 6, 7$. This result gives an appropriate explanation of the configuration space of $n$-membered ringed hydrocarbon molecules when $n = 5, 6$.

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Satoru Goto. Kazushi Komatsu. "The configuration space of a model for ringed hydrocarbon molecules." Hiroshima Math. J. 42 (1) 115 - 126, March 2012. https://doi.org/10.32917/hmj/1333113009

Information

Published: March 2012
First available in Project Euclid: 30 March 2012

zbMATH: 1238.92069
MathSciNet: MR2952075
Digital Object Identifier: 10.32917/hmj/1333113009

Subjects:
Primary: 52C99
Secondary: 57M50, 58E05, 92E10

Rights: Copyright © 2012 Hiroshima University, Mathematics Program

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Vol.42 • No. 1 • March 2012
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