Harmonic maps and uniqueness of axisymmetric monopole solutions

  • Mazur P
  • Richter E
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Abstract

The uniqueness of axisymmetric monopole solutions to the Bogomolny equations is studied. The generalized Green identity for harmonic maps is used to prove that the Prasad-Sommerfield solution is the unique axisymmetric one-monopole solution. We discuss also the multimonopole solutions. © 1985.

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Authors

  • P. O. Mazur

  • E. Richter

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