Fixed points of nonlinear sigma models in d>2d>2

Using Wilsonian methods, we study the renormalization group flow of the nonlinear sigma model in any dimension d  , restricting our attention to terms with two derivatives. At one loop we always find a Ricci-type flow. When symmetries completely fix the internal metric, we compute the beta function of the single remaining coupling, without any further approximation. For d>2d>2 and positive curvature, there is a nontrivial fixed point, which could be used to define an ultraviolet limit, in spite of the perturbative nonrenormalizability of the theory. Potential applications are briefly mentioned.