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 spinconnection 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.

• Received 22 October 1979

DOI:https://doi.org/10.1103/PhysRevD.21.979