Benjamin Schmidt and Wolfgang Quapp Theoret Chem Acc 132 (2012) 1305-1313 Search of Manifolds of Nonsymmetric Valley-Ridge Inflection Points on the Potential Energy Surface of HCN Abstract The potential energy surface of a chemical reaction contains Valley-Ridge inflection points (VRI) if -- an often occurring phenomenon -- the reaction path branches. In this paper, we introduce a new direct search method to detect these VRI points. It is based on an inductive execution of Gauss-Newton steps. Thus, for the first time we were able to find not only singular nonsymmetric VRI points, but whole VRI manifolds on the potential energy surface of HCN. keywords: Potential Energy Surface; Valley-Ridge Inflection Point; Bifurcation of Reaction Paths; Manifold of VRIs