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We consider self-dual Yang-Mills instantons in 4-dimensional Kaehler spaceswith one holomorphic isometry and show that they satisfy a generalization ofthe Bogomol'nyi equation for magnetic monopoles on certain 3-dimensionalmetrics. We then search for solutions of this equation in 3-dimensional metricsfoliated by 2-dimensional spheres, hyperboloids or planes in the case in whichthe gauge group coincides with the isometry group of the metric (SO(3), SO(1,2)and ISO(2), respectively). Using a generalized hedgehog ansatz the Bogomol'nyiquations reduce to a simple differential equation in the radial variable whichadmits a universal solution and, in some cases, a particular one, from whichone finally recovers instanton solutions in the original Kaehler space. We workout completely a few explicit examples for some Kaehler spaces of interest.

Yang-Mills instantons in Kaehler spaces with one holomorphic isometry