Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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YANG-MILLS CONNECTIONS ON CLOSED LIE GROUPS

  • Pyo, Yong-Soo (Department of Applied Mathematics Pukyong National University) ;
  • Shin, Young-Lim (Department of Applied Mathematics Pukyong National University) ;
  • Park, Joon-Sik (Department of Mathematics Pusan University of Foreign Studies)
  • Received : 2010.10.07
  • Accepted : 2010.11.15
  • Published : 2010.12.25
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Abstract

In this paper, we obtain a necessary and sufficient condition for a left invariant connection in the tangent bundle over a closed Lie group with a left invariant metric to be a Yang-Mills connection. Moreover, we have a necessary and sufficient condition for a left invariant connection with a torsion-free Weyl structure in the tangent bundle over SU(2) with a left invariant Riemannian metric g to be a Yang-Mills connection.

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References

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