Extensive single-point turbulence measurements made in a heated wall jet on a convex wall, and in an equivalent plane flow, show that the turbulence structure and the transfer of heat and momentum are affected by wall curvature. In the curved wall jet the points of zero shear stress and zero streamwise heat flux are displaced further from the point of maximum velocity, the Stanton number for heat transfer from the surface is reduced more than the skin-friction coefficient, and temperature profiles in the inner layer depart from the flat-flow wall law. The shear stress, turbulent intensities and turbulent heat fluxes are reduced by stabilizing curvature in the inner layer and increased by destabilizing curvature in the outer flow. The largest changes occur in the triple products, which are nearly doubled by destabilizing curvature.