Communications in Mathematical Physics

, Volume 96, Issue 3, pp 387–407

Nahm's equations and the classification of monopoles

  • S. K. Donaldson

DOI: 10.1007/BF01214583

Cite this article as:
Donaldson, S.K. Commun.Math. Phys. (1984) 96: 387. doi:10.1007/BF01214583


Solutions of Nahm's system of ordinary differential equations are produced by variational methods. This leads to an explicit parametrisation of the solutions to the Bogomolny equation over ℝ3.

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • S. K. Donaldson
    • 1
    • 2
  1. 1.All Souls CollegeOxfordUnited Kingdom
  2. 2.The Institute for Advanced StudyPrincetonUSA