Stable Configurations of Repelling Points on Flat Tori

M. Nechayeva, Burton Randol
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引用次数: 0

Abstract

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.
平面环面上排斥点的稳定构型
摘要:本文在研究黎曼流形静电学的本征傅立叶解析方法的基础上,对平面环面进行了分析。该方法涵盖了一大类排斥定律,但自然不包括在原点具有奇点的定律,本文的最后一节讨论了可能的调整。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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