O artykule
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
© 2019 Marina Nechayeva et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.