Differential geometry of intersection curves in R4 of three implicit surfaces

We present algorithms for computing the differential geometry properties of intersection curves of three implicit surfaces in R4, using the implicit function theorem and generalizing the method of X. Ye and T. Maekawa for 4-dimension. We derive t,n,b1,b2 vectors and curvatures (k1,k2,k3) for transversal intersections of the intersection problem.