In the scope of nonassociative geometry we present a new effective model that extends the statistical treatment of complex networks, accounting for the effect of nonlocal curvature. Our model can be applied to the study of complex networks embedded in a space of global positive, null, or negative curvature, or even in a space of arbitrary curvature. We use this approach to study the Internet as a complex network embedded in a hyperbolic space. The nonlocal space curvature affects the connectance probability, leading to an inhomogeneous distribution. We show that our model yields a remarkable agreement with available empirical data.