Before revision:  Here we show that Ollivier curvature of random geometric graphs in any Riemannian manifold converges in the continuum limit to Ricci curvature of the underlying manifold  .
After revision:  Here we show that Ollivier curvature of random geometric graphs in any Riemannian manifold converges in the continuum limit to Ricci curvature of the underlying manifold , but only if the definition of Ollivier graph curvature is properly generalized to apply to mesoscopic graph neighborhoods .