<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

Data publikacji: 27 mar 2020

Zakres stron: 87 - 102

Otrzymano: 20 lis 2017

Przyjęty: 12 gru 2018

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

Słowa kluczowe
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

Data publikacji: 27 mar 2020

Zakres stron: 87 - 102

Otrzymano: 20 lis 2017

Przyjęty: 12 gru 2018

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

Słowa kluczoweelectrostatics, tori

© 2019 Marina Nechayeva et al., published by Sciendo

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

Słowa kluczowe
electrostatics, tori