A class of finite-action, self-dual SU(2) gauge fields are constructed for the Eguchi-Hanson metric. Two continuous parameters appear in the solution leading to a continuous action. This class includes the spin-connection solution as a particular case and reduces to the Belavin-Polyakov-Schwarz-Tyupkin instanton after a suitable passage to the flat-space limit. Possible significances of such solutions are discussed.
In this work we study the dimensional reduction of smooth circle invariant Yang-Mills instantons defined on 4-manifolds which asymptotically become circle fibrations over hyperbolic 3-space. A suitable choice of the 4-manifold metric within a specific conformal class gives rise to singular and smooth hyperbolic monopoles. A large class of monopoles is obtained if the conformal factor satisfies the Helmholtz equation on hyperbolic 3-space. We describe simple configurations and relate our results to the Jackiw-Nohl-Rebbi construction, for which we provide a geometric interpretation.
Berzelius failed to make use of Faraday's electrochemical laws in his laborious determination of equivalent weights.