SOLUTIONS OF YANG EUCLIDEAN R-GAUGE EQUATIONS AND SELF-DUALITY

Under some assumptions and transformations of variables, Yang's equati ons for R-gauge fields on Euclidean space lead to conformally invarian t equations permitting one to obtain infinitely many other solutions f rom any solution of these conformally invariant equations. These confo rmally invariant equations closely resemble the mathematically interes ting generalized Lund-Regge equations. Some exact solutions of these c onformally in variant equations are obtained. Except for some singular situations, these solutions are self-dual.