Warped Products and Yang-Mills equations on non commutative spaces

This paper presents a non self-dual solution of the Yang-Mills equations on a non commutative version of the classical $R_q^4\mathrm{\backslash }\{0\}$, so generalizing the classical meron solution first introduced by de Alfaro, Fubini and Furlan in 1976. The basic tool for that is a generalization to non commutative spaces of the classical notion of warped products between metric spaces.