• 제목/요약/키워드: Yang-Mills-Higgs field

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YANG-MILLS OR YANG-MILLS-HIGGS FIELDS OVER KAEHLER AND CONTACT MANIFOLDS

  • Park, Young-Soo;Suh, Young-Jin
    • 대한수학회보
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    • 제40권1호
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    • pp.109-122
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    • 2003
  • In this paper we give a characterization of an irreducible connection with harmonic curvature over a connected Kaehler manifold to be self-dual. Also we introduce new notions of $c_{i}-self-dual$ or Kaehler Yang-Mills connections on compact Kaehler manifolds and investigate some fundamental properties of this kind of new connections. Moreover, on a compact odd dimensional Riemannian manifold we give a property of generalized monopole.