<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

Publicado en línea: 27 mar 2020

Páginas: 87 - 102

Recibido: 20 nov 2017

Aceptado: 12 dic 2018

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

Palabras clave
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

Publicado en línea: 27 mar 2020

Páginas: 87 - 102

Recibido: 20 nov 2017

Aceptado: 12 dic 2018

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

Palabras claveelectrostatics, tori

© 2019 Marina Nechayeva et al., published by Sciendo

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

Palabras clave
electrostatics, tori