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 Yang-Mills or Yang-Mills-Higgs fields over Kaehler and contact manifolds Bull. Korean Math. Soc. 2003 Vol. 40, No. 1, 109-122 Published online March 1, 2003 Young Soo Park and Young Jin Suh Kyungpook National University, Kyungpook National University Abstract : In this paper we give a characterization of an irreducible connection with harmonic curvature over a connected Kaeh-ler manifold to be {\it 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. Keywords : self-dual part, anti-self-dual part, Yang-Mills connection, $c_i$-self-dual connection, Yang-Mills-Higgs field, Kaehler Yang-Mills connection MSC numbers : Primary 53C40; Secondary 53C15 Downloads: Full-text PDF