Stable Configurations of repelling Points on compact Manifolds

Details Stable Configurations of repelling Points on compact Manifolds Stable Configurations of repelling Points on compact Manifolds

2012-02-28

arxiv.org/abs/1202.6320v1

Mathematics

Differential Geometry

arXiv admin note: text overlap with arXiv:1107.4836

Scientific paper

This is an expanded version of [arXiv:1107.4836v1 [math.DS]]. Using techniques from [Chapter XI, The Selberg Trace Formula, in Eigenvalues in Riemannian Geometry, by Isaac Chavel], in which a differential-geometrically intrinsic treatment of counterparts of classical electrostatics was introduced, it is shown that on some compact manifolds, certain stable configurations of points which mutually repel along all interconnecting geodesics become equidistributed as the number of points increases.

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