Stable configurations of repelling points on compact manifolds
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- by Burton Randol PDF
- Proc. Amer. Math. Soc. 142 (2014), 2769-2773 Request permission
Abstract:
Using a differential-geometrically intrinsic treatment of counterparts of classical electrostatics introduced by the author in 1984, it is shown that on some compact manifolds, stable configurations of points which mutually repel along all interconnecting geodesics become equidistributed as the number of points increases.References
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Additional Information
- Burton Randol
- Affiliation: Ph.D. Program in Mathematics, CUNY Graduate Center, 365 Fifth Avenue, New York, New York 10016
- MR Author ID: 211692
- Email: brandol@gc.cuny.edu
- Received by editor(s): June 20, 2012
- Received by editor(s) in revised form: September 4, 2012
- Published electronically: April 29, 2014
- Communicated by: Alexander Iosevich
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 2769-2773
- MSC (2010): Primary 37A45
- DOI: https://doi.org/10.1090/S0002-9939-2014-12007-7
- MathSciNet review: 3209331