Singular hyperbolic monopoles (Q2466847)

The twistor theory of singular hyperbolic SU(2) monopoles [Hyperbolic version of Kronheimer's work on monopoles and Taub-NUT metrics, Transfer Thesis, Oxford University (1985)] is developed. It is shown that the moduli space of charge 1 monopoles possesses a natural 2-sphere of scalar flat Kähler metrics. In the zero mass limit, the metrics reduce to a class of LeBrun metrics. See also \textit{N. J. Hitchin} [Math. Proc. Camb. Philos. Soc. 85, 465--476 (1979; Zbl 0405.53016), Commun. Math. Phys. 83, 579--602 (1982; Zbl 0502.58017)]; \textit{N. P. Buchdahl} [J. Differ. Geom. 24, 19--52 (1986; Zbl 0586.32034)].