Generalized connected sum construction for scalar flat metrics
Generalized connected sum construction for scalar flat metrics
In this paper we construct constant scalar curvature metrics on the generalized connected sum $${M = M_1 \, \sharp_K \, M_2}$$ of two compact Riemannian scalar flat manifolds (M 1, g 1) and (M 2, g 2) along a common Riemannian submanifold (K, g K ) whose codimension is ≥3. …