Generalized connected sum construction for nonzero constant scalar curvature metrics

In this paper we construct constant scalar curvature metrics on the generalized connected sum of two compact Riemannian manifolds (M_1,g_1) and (M_2,g_2) along a common Riemannian submanifold (K,g_K), in the case where the codimension of K is at least 3 and the manifolds M_1 and M_2 have the same nonzero constant scalar curvature S. This yields a generalization of the Joyce’s results for point-wise connected sums.