arXiv Open Access 2012

Stable Configurations of repelling Points on compact Manifolds

Burton Randol

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Abstrak

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.

Topik & Kata Kunci

math.DG

Penulis (1)

Burton Randol

Format Sitasi

APA MLA BibTeX

Randol, B. (2012). Stable Configurations of repelling Points on compact Manifolds. https://arxiv.org/abs/1202.6320

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Informasi Jurnal

Tahun Terbit: 2012
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓