A CLASS CONFORMAL MAPPINGS ON RIEMANNIAN SPACES

For two Riemannian spaces (M, g) and((?), (?)), if their metric tensors satisfy where ρ is any scalar function of x, then we call such a correspondence between M and (?) a conformal mapping. As is well known, the necessary and sufficient condition for the conformal mapping (1) to be a concircular mapping is that the function ρ satisfies differential