<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Stable Configurations of Repelling Points on Flat Tori

Uniform distribution theory

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Stable Configurations of Repelling Points on Flat Tori"}

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...

Stable Configurations of Repelling Points on Flat Tori

Published Online: Mar 27, 2020

Page range: 87 - 102

Received: Nov 20, 2017

Accepted: Dec 12, 2018

DOI: https://doi.org/10.2478/udt-2019-0016

Keywords
electrostatics, tori

© 2019 Marina Nechayeva et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Stable Configurations of Repelling Points on Flat Tori

Published Online: Mar 27, 2020

Page range: 87 - 102

Received: Nov 20, 2017

Accepted: Dec 12, 2018

DOI: https://doi.org/10.2478/udt-2019-0016

Keywordselectrostatics, tori

© 2019 Marina Nechayeva et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
electrostatics, tori