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Yang-Mills or Yang-Mills-Higgs fields over Kaehler and contact manifolds

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Abstract

In this paper we give a characterization of anirreducible connection with harmonic curvature over a connectedKaeh-ler manifold to be self-dual. Also we introduce newnotions of c_i-self-dual or Kaehler Yang-Mills connections oncompact Kaehler manifolds and investigate some fundamentalproperties of this kind of new connections. Moreover, on a compactodd dimensional Riemannian manifold we give a property ofgeneralized monopole.

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