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

Under some assumptions and transformations of variables, Yang's equations for R-gauge fields on Euclidean space lead to conformally invariant equations permitting one to obtain infinitely many other solutions from any solution of these conformally invariant equations. These conformally invariant equations closely resemble the mathematically interesting generalized Lund-Regge equations. Some exact solutions of these conformally in variant equations are obtained. Except for some singular situations, these solutions are self-dual.