Stable Configurations of Repelling Points on Flat Tori
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Abstract
Flat tori are analyzed in the context of an intrinsic Fourier-analytic approach to electrostatics on Riemannian manifolds, introduced by one of the authors in 1984 and previously developed for compact hyperbolic manifolds. The approach covers a large class of repelling laws, but does not naturally include laws with singularities at the origin, for which possible accommodations are discussed in the final section of the paper.
Language: English
Page range: 87 - 102
Submitted on: Nov 20, 2017
Accepted on: Dec 12, 2018
Published on: Mar 27, 2020
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
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© 2020 Marina Nechayeva, Burton Randol, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.